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 = 5x
6 + 5x = 2 + -2x + 2x

Combine like terms: -2x + 2x = 0
6 + 5x = 2 + 0
6 + 5x = 2

Add '-6' to each side of the equation.
6 + -6 + 5x = 2 + -6

Combine like terms: 6 + -6 = 0
0 + 5x = 2 + -6
5x = 2 + -6

Combine like terms: 2 + -6 = -4
5x = -4

Divide each side by '5'.
x = -0.8

Simplifying
x = -0.8