2(6x-3)+2(3x+6)=60

Solution for 2(6x-3)+2(3x+6)=60 equation:

Simplifying
2(6x + -3) + 2(3x + 6) = 60

Reorder the terms:
2(-3 + 6x) + 2(3x + 6) = 60
(-3 * 2 + 6x * 2) + 2(3x + 6) = 60
(-6 + 12x) + 2(3x + 6) = 60

Reorder the terms:
-6 + 12x + 2(6 + 3x) = 60
-6 + 12x + (6 * 2 + 3x * 2) = 60
-6 + 12x + (12 + 6x) = 60

Reorder the terms:
-6 + 12 + 12x + 6x = 60

Combine like terms: -6 + 12 = 6
6 + 12x + 6x = 60

Combine like terms: 12x + 6x = 18x
6 + 18x = 60

Solving
6 + 18x = 60

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + 18x = 60 + -6

Combine like terms: 6 + -6 = 0
0 + 18x = 60 + -6
18x = 60 + -6

Combine like terms: 60 + -6 = 54
18x = 54

Divide each side by '18'.
x = 3

Simplifying
x = 3