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

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

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

Reorder the terms:
-3(-2 + x) = -2(x + 1)
(-2 * -3 + x * -3) = -2(x + 1)
(6 + -3x) = -2(x + 1)

Reorder the terms:
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