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

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

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

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

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

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

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

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

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

Combine like terms: 2x + -2x = 0
-3 + 1x = 0

Add '3' to each side of the equation.
-3 + 3 + 1x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 1x = 0 + 3
1x = 0 + 3

Combine like terms: 0 + 3 = 3
1x = 3

Divide each side by '1'.
x = 3

Simplifying
x = 3