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

Solution for 3(2-x)=-2(1+x) equation:

Simplifying
3(2 + -1x) = -2(1 + x)
(2 * 3 + -1x * 3) = -2(1 + x)
(6 + -3x) = -2(1 + x)
6 + -3x = (1 * -2 + x * -2)
6 + -3x = (-2 + -2x)

Solving
6 + -3x = -2 + -2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '2x' to each side of the equation.
6 + -3x + 2x = -2 + -2x + 2x

Combine like terms: -3x + 2x = -1x
6 + -1x = -2 + -2x + 2x

Combine like terms: -2x + 2x = 0
6 + -1x = -2 + 0
6 + -1x = -2

Add '-6' to each side of the equation.
6 + -6 + -1x = -2 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = -2 + -6
-1x = -2 + -6

Combine like terms: -2 + -6 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8