a) \(4x-10=0\)
\(4x=10\)
\(x=\dfrac{10}{4}\)
\(x=\dfrac{5}{2}\)
Vậy \(S=\left\{\dfrac{5}{2}\right\}\)
b) \(7-3x=9-x\)
\(-3x+x=9-7\)
\(-2x=2\)
\(x=-1\)
Vậy \(S+\left\{-1\right\}\)
c) \(2x-\left(3-5x\right)=4\left(x+3\right)\)
\(2x-3+5x=4x+12\)
\(2x+5x-4x=12+3\)
\(3x=15\)
\(x=\dfrac{15}{3}\)
\(x=5\)
Vậy \(S=\left\{5\right\}\)
d) \(5-\left(6-x\right)=4\left(3-2x\right)\)
\(5-6+x=12-8x\)
\(x+8x=12-5+6\)
\(9x=13\)
\(x=\dfrac{13}{9}\)
Vậy \(S=\left\{\dfrac{13}{9}\right\}\)
e) \(4\left(x+3\right)=-7x+17\)
\(4x+12=-7x+17\)
\(4x+7x=17-12\)
\(11x=5\)
\(x=\dfrac{5}{11}\)
Vậy \(S=\left\{\dfrac{5}{11}\right\}\)
f) \(5\left(x-3\right)-4=2\left(x-1\right)+7\)
\(5x-15-4=2x-2+7\)
\(5x-2x=-2+7+15+4\)
\(3x=24\)
\(x=\dfrac{24}{3}\)
\(x=8\)
Vậy \(S=\left\{8\right\}\)
g) trùng câu f
h) \(4\left(3x-2\right)-3\left(x-4\right)=7x+20\)
\(12x-8-3x+12=7x+20\)
\(12x-3x+7x=20+8-12\)
\(16x=16\)
\(x=1\)
Vậy \(S=\left\{1\right\}\)
