3(2x-2)+1=13

Solution for 3(2x-2)+1=13 equation:

Simplifying
3(2x + -2) + 1 = 13

Reorder the terms:
3(-2 + 2x) + 1 = 13
(-2 * 3 + 2x * 3) + 1 = 13
(-6 + 6x) + 1 = 13

Reorder the terms:
-6 + 1 + 6x = 13

Combine like terms: -6 + 1 = -5
-5 + 6x = 13

Solving
-5 + 6x = 13

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 5 + 6x = 13 + 5

Combine like terms: -5 + 5 = 0
0 + 6x = 13 + 5
6x = 13 + 5

Combine like terms: 13 + 5 = 18
6x = 18

Divide each side by '6'.
x = 3

Simplifying
x = 3