3(x+2)-2(x-1)=12

Solution for 3(x+2)-2(x-1)=12 equation:

Simplifying
3(x + 2) + -2(x + -1) = 12

Reorder the terms:
3(2 + x) + -2(x + -1) = 12
(2 * 3 + x * 3) + -2(x + -1) = 12
(6 + 3x) + -2(x + -1) = 12

Reorder the terms:
6 + 3x + -2(-1 + x) = 12
6 + 3x + (-1 * -2 + x * -2) = 12
6 + 3x + (2 + -2x) = 12

Reorder the terms:
6 + 2 + 3x + -2x = 12

Combine like terms: 6 + 2 = 8
8 + 3x + -2x = 12

Combine like terms: 3x + -2x = 1x
8 + 1x = 12

Solving
8 + 1x = 12

Solving for variable 'x'.

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

Add '-8' to each side of the equation.
8 + -8 + 1x = 12 + -8

Combine like terms: 8 + -8 = 0
0 + 1x = 12 + -8
1x = 12 + -8

Combine like terms: 12 + -8 = 4
1x = 4

Divide each side by '1'.
x = 4

Simplifying
x = 4