Question

a/10-2(4-3x)=-4
b/-12+3(-x+7)+=-18
c/24:(3x-2)=-3
d/-45:5.(-3-2x)=3

Answer 1

a) \(10-2\left(4-3x\right)=-4\)

\(2\left(4-3x\right)=10-\left(-4\right)\)

\(2\left(4-3x\right)=14\)

\(4-3x=\dfrac{14}{2}\)

\(4-3x=7\)

\(3x=4-7\)

\(3x=-3\)

\(x=-1\)

b) \(-12+3\left(-x+7\right)=-18\)

\(3\left(-x+7\right)=-18+12\)

\(3\left(-x+7\right)=-6\)

\(-x+7=-2\)

\(-x=-2-7\)

\(-x=-9\)

\(x=9\)

c) \(24:\left(3x-2\right)=-3\)

\(3x-2=24:\left(-3\right)\)

\(3x-2=-8\)

\(3x=-8+2\)

\(3x=-6\)

\(x=-2\)

d) \(-45:5\left(-3-2x\right)=3\)

\(5\left(-3-2x\right)=-45:3\)

\(5\left(-3-2x\right)=-15\)

\(-3-2x=-15:5\)

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

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

\(-2x=0\)

\(x=0\)