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

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

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

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

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

Combine like terms: 6 + -1 = 5
5 + 3x = 2(x + -1) + 2

Reorder the terms:
5 + 3x = 2(-1 + x) + 2
5 + 3x = (-1 * 2 + x * 2) + 2
5 + 3x = (-2 + 2x) + 2

Reorder the terms:
5 + 3x = -2 + 2 + 2x

Combine like terms: -2 + 2 = 0
5 + 3x = 0 + 2x
5 + 3x = 2x

Solving
5 + 3x = 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.
5 + 3x + -2x = 2x + -2x

Combine like terms: 3x + -2x = 1x
5 + 1x = 2x + -2x

Combine like terms: 2x + -2x = 0
5 + 1x = 0

Add '-5' to each side of the equation.
5 + -5 + 1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 1x = 0 + -5
1x = 0 + -5

Combine like terms: 0 + -5 = -5
1x = -5

Divide each side by '1'.
x = -5

Simplifying
x = -5