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

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

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

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

Reorder the terms:
-6 + 3x + -2(2 + x) = 12
-6 + 3x + (2 * -2 + x * -2) = 12
-6 + 3x + (-4 + -2x) = 12

Reorder the terms:
-6 + -4 + 3x + -2x = 12

Combine like terms: -6 + -4 = -10
-10 + 3x + -2x = 12

Combine like terms: 3x + -2x = 1x
-10 + 1x = 12

Solving
-10 + 1x = 12

Solving for variable 'x'.

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

Add '10' to each side of the equation.
-10 + 10 + 1x = 12 + 10

Combine like terms: -10 + 10 = 0
0 + 1x = 12 + 10
1x = 12 + 10

Combine like terms: 12 + 10 = 22
1x = 22

Divide each side by '1'.
x = 22

Simplifying
x = 22