(x+1)(x²-x+1)-x(x-3)(x+3)=8
x³+1-x(x²-9)=8
x³+1-x³-9x=8
(x³-x³)+(1-8)-9x=0
-7-9x=0
-9x=-7
   x=7/9  

a) \(\dfrac{3}{5}:x=3\)

\(x=\dfrac{3}{5}:3\)

\(x=\dfrac{3}{5}\times\dfrac{1}{3}\)

\(x=\dfrac{1}{5}\)

b) \(\dfrac{x}{5}:\dfrac{3}{8}=\dfrac{8}{5}\)

\(\dfrac{x}{5}=\dfrac{8}{5}\times\dfrac{3}{8}\)

\(\dfrac{x}{5}=\dfrac{3}{5}\)

\(=>x=3\)

a,x=3/5:3/

x=3/5.1/3

x=1/5

b,x/5=8/5.3/8

x/5=3/5

=> x=3

`a)3/5:x=3`

`x=3/5:3=3/5xx1/3`

`x=1/5`

`b)x/5:3/8=8/5`

`x/5=8/5xx3/8`

`x/5=3/5`

`x=3`

1: 7-x=8+(-7)

=>7-x=8-7=1

=>x=7-1=6

2: \(x-8=\left(-3\right)-8\)

=>x-8=-11

=>\(x=-11+8=-3\)

3: \(2-x=10-9+23\)

=>\(2-x=33-9=24\)

=>x=2-24=-22

4: \(-2-x=15\)

=>\(x=-2-15=-17\)

5: \(-7+x-8=-3-1+13\)

=>x-14=13-4=9

=>x=9+14=23

6: 100-x+7=-x+3

=>107-x=3-x

=>107=3(vô lý)

7: \(23+x=8-2x\)

=>\(x+2x=8-23\)

=>3x=-15

=>x=-15/3=-5

a) \(6.8^{x-1}+8^{x+1}=6.8^{19}+8^{21}\)

\(\Rightarrow x-1+x+1=19+21\)

\(=2x=40\)

\(\Rightarrow x=20\)

b) \(4.3^{x-1}+2.3^{x+2}=4.3^6+2.3^9\)

\(\Rightarrow x-1+x+2=6+9\)

\(\Rightarrow2x+1=15\)

\(\Rightarrow2x=14\)

\(\Rightarrow x=7\)

\(\dfrac{7}{8}-x=\dfrac{2}{3}+\dfrac{1}{8}\)
\(\dfrac{7}{8}-x=\dfrac{16}{24}+\dfrac{3}{24}\)
\(\dfrac{7}{8}-x=\dfrac{19}{24}\)
\(x=\dfrac{7}{8}-\dfrac{19}{24}\)
\(x=\dfrac{21}{24}-\dfrac{19}{24}\)
\(x=\dfrac{2}{24}=\dfrac{1}{12}\)

`7/8-x=2/3+1/8`

`=>7/8-x=19/24`

`=>x=7/8-19/24`

`=>x=1/12`