Bài 1:

1. \(x-8=3-2\left(x+4\right)\)

\(x-8=3-2x-8\)

\(3x=3\Rightarrow x=1\)

2. \(2\left(x+3\right)-3\left(x-1\right)=2\)

\(2x+6-3x+3=2\)

\(-x+9=2\Rightarrow x=7\)

3. \(4\left(x-5\right)-\left(3x-1\right)=x-19\)

\(4x-20-3x+1=x-19\)

\(0x=0\Rightarrow x=0\)

4. \(7-\left(x-2\right)=5\left(2x-3\right)\)

\(7-x+2=10x-15\)

\(-11x=-24\Rightarrow x=\frac{24}{11}\)

5. \(32-4\left(0,5y-5\right)=3y+2\)

\(32-2y+20=3y+2\)

\(-5y=-50\Rightarrow y=10\)

6. \(3\left(x-1\right)-x=2x-3\)

\(3x-3-x=2x-3\)

\(0x=0\Rightarrow x=0\)

Bài 2:

1. \(\frac{2-x}{3}=\frac{3-2x}{5}\)

\(\frac{\left(2-x\right)5}{15}-\frac{\left(3-2x\right)3}{15}=0\)

\(\frac{10-5x-9+6x}{15}=0\)

\(x+1=0\Rightarrow x=-1\)

2. \(\frac{3-4x}{4}=\frac{x+2}{5}\)

\(\frac{5\left(3-4x\right)}{20}-\frac{4\left(x+2\right)}{20}=0\)

\(\frac{15-20x-4x-8}{20}=0\)

\(7-24x=0\)

\(24x=7\Rightarrow x=\frac{7}{24}\)

a) 7x - 35 = 0

<=> 7x = 0 + 35

<=> 7x = 35

<=> x = 5

b) 4x - x - 18 = 0

<=> 3x - 18 = 0

<=> 3x = 0 + 18

<=> 3x = 18

<=> x = 5

c) x - 6 = 8 - x

<=> x - 6 + x = 8

<=> 2x - 6 = 8

<=> 2x = 8 + 6

<=> 2x = 14

<=> x = 7

d) 48 - 5x = 39 - 2x

<=> 48 - 5x + 2x = 39

<=> 48 - 3x = 39

<=> -3x = 39 - 48

<=> -3x = -9

<=> x = 3

có bị viết nhầm thì thông cảm nha!

la`thu'hai nga`y 19 nhe

Câu 1 : 

a, \(\frac{3\left(2x+1\right)}{4}-\frac{5x+3}{6}=\frac{2x-1}{3}-\frac{3-x}{4}\)

\(\Leftrightarrow\frac{6x+3}{4}+\frac{3-x}{4}=\frac{2x-1}{3}+\frac{5x+3}{6}\)

\(\Leftrightarrow\frac{5x+6}{4}=\frac{9x+1}{6}\Leftrightarrow\frac{30x+36}{24}=\frac{36x+4}{24}\)

Khử mẫu : \(30x+36=36x+4\Leftrightarrow-6x=-32\Leftrightarrow x=\frac{32}{6}=\frac{16}{3}\)

tương tự 

\(\frac{19}{4}-\frac{2\left(3x-5\right)}{5}=\frac{3-2x}{10}-\frac{3x-1}{4}\)

\(< =>\frac{19.5}{20}-\frac{8\left(3x-5\right)}{20}=\frac{2\left(3-2x\right)}{20}-\frac{5\left(3x-1\right)}{20}\)

\(< =>95-24x+40=6-4x-15x+5\)

\(< =>-24x+135=-19x+11\)

\(< =>5x=135-11=124\)

\(< =>x=\frac{124}{5}\)

\(\frac{\left(x-2\right).3}{2}+3+\frac{\left(x-3\right).5}{3}+5+\frac{\left(x-5\right).2}{5}+2=10\)

\(< =>\frac{\left(x-2\right).3.15}{30}+\frac{\left(x-3\right).5.10}{30}+\frac{\left(x-5\right).2.6}{30}=10-2-3-5\)

\(< =>\frac{\left(x-2\right).45+\left(x-3\right).50+\left(x-5\right).12}{30}=0\)

\(< =>45x-90+50x-150+12x-60=0\)

\(< =>107x-300=0< =>x=\frac{300}{107}\)

\(\text{a) 2(x+3)-3(x-1)=2}\)

\(2x+6-3x+3=2\)

\(2x-3x=2-3-6\)

\(-x=-7\)

\(x=7\)

\(\text{b) 7-(x-2)=5(2x-3)}\)

\(7-x+2=10x-15\)

\(-x-10x=-15-2-7\)

\(-11x=-24\)

\(x=-24:\left(-11\right)\)

\(x=\frac{24}{11}\)

\(\text{c) 32-4(0,5y-5)=3y+2}\)

\(32-2y+20=3y+2\)

\(-2y-3y=2-20-32\)

\(-y=-50\)

\(y=50\)

\(\text{d) 3(x-1)-x=2x-3}\)

\(3x-3-x=2x-3\)

\(3x-x-2x=-3+3\)

\(0=0\)( vô nghiệm )

a) 2(x + 3) - 3(x - 1) = 2

<=> 2x + 6 - 3x + 3 = 2

<=> -x + 9 = 2

<=> -x = -2 - 9

<=> -x = -7

<=> x = 7

b) 7 - (x - 2) = 5(2x - 3)

<=> 7 - x + 2 = 10x - 15

<=> 9 - x = 10x - 15

<=> 9 - x - 10 = -15

<=> 9 - 11x = -15

<=> -11x = -15 - 9

<=> -11x = -24

<=> x = 24/11

c) 32 - 4(0,5y - 5) = 3y + 2

<=> 32 - 2y + 20 = 3y + 2

<=> 52 - 2y = 3y + 2

<=> 52 - 2y - 3y = 2

<=> 52 - 5y = 2

<=> -5y = 2 - 52

<=> -5y = -50

<=> y = 10

\(e,x^2+2x-4=-12+3x+x^2\)

\(x^2-x^2+2x-3x=-12+4\)

\(-x=-8\)

\(x=8\)

\(\text{g) x(x-1)-x(x+3)=15}\)

\(2x-x-2x-3x=15\)

\(-4x=15\)

\(x=15:\left(-4\right)\)

\(x=\frac{15}{-4}\)

\(\text{h) x(x-1)=x(x+3)}\)

\(2x-x=2x+3x\)

\(2x-x-2x-3x=0\)

\(-4x=0\)

\(\Rightarrow x=0\)

\(\text{i) x(2x-3)-x^2+2=x(x-5)-1}\)

\(3x-3x-x^2+2=2x-5x-1\)

\(3x-3x-2x+5x-x^2=-1-2\)

\(3x-x.x=-3\)

\(x.\left(3-1\right)=-3\)

\(\)\(x.2=-3\)

\(x=-3:2\)

\(x=\frac{-3}{2}\)

\(k,\left(x-1\right)\left(x+3\right)=x^2-4\)

\(\left(x-1\right).x+\left(x-1\right).3=x^2-4\)

\(2x-x+3x-4=x^2-4\)

\(2x-3x-x^2=-4+4\)

\(-x-x.x=0\)

\(-x.\left(1-x\right)=0\)

\(\Rightarrow\orbr{\begin{cases}-x=0\\1-x=0\end{cases}\Leftrightarrow\orbr{\begin{cases}x=0\\x=1\end{cases}}}\)

\(\Rightarrow x\in\left\{0;1\right\}\)

chúc bạn học tốt

b)x+3=4:2
 => x=-1
d)5x-15=3x-5
<=> 5x-3x=15-5
<=> 2x=10
<=> x=5
f) 35-7x=11-5x
<=> 35-11=-5x+7x
<=> 24=2x
<=> x=12

h) 6x-2-3x=10
<=> 3x=10+2
<=> x=4
j)3-2x=3x+3-x-2
<=> 3-2x=2x+1
<=>-4x=-2
<=> x=1/2
 

Bạn cần viết đề bằng công thức toán (biểu tượng $\sum$ góc trái khung soạn thảo) đẻ được hỗ trợ tốt hơn. Viết như thế kia rất khó đọc => khả năng bị bỏ qua bài cao.

a: =>3x=3

=>x=1

b: =>12x-2(5x-1)=3(8-3x)

=>12x-10x+2=24-9x

=>2x+2=24-9x

=>11x=22

=>x=2

c: =>2x-3(2x+1)=x-6x

=>-5x=2x-6x-3=-4x-3

=>-x=-3

=>x=3

d: =>2x-5=0 hoặc x+3=0

=>x=5/2 hoặc x=-3

e: =>x+2=0

=>x=-2