2(x+6+2x-3)=54

Solution for 2(x+6+2x-3)=54 equation:

Simplifying
2(x + 6 + 2x + -3) = 54

Reorder the terms:
2(6 + -3 + x + 2x) = 54

Combine like terms: 6 + -3 = 3
2(3 + x + 2x) = 54

Combine like terms: x + 2x = 3x
2(3 + 3x) = 54
(3 * 2 + 3x * 2) = 54
(6 + 6x) = 54

Solving
6 + 6x = 54

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 + 6x = 54 + -6

Combine like terms: 6 + -6 = 0
0 + 6x = 54 + -6
6x = 54 + -6

Combine like terms: 54 + -6 = 48
6x = 48

Divide each side by '6'.
x = 8

Simplifying
x = 8