2(2x-3)=6+x

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

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

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

Solving
-6 + 4x = 6 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-6 + 4x + -1x = 6 + x + -1x

Combine like terms: 4x + -1x = 3x
-6 + 3x = 6 + x + -1x

Combine like terms: x + -1x = 0
-6 + 3x = 6 + 0
-6 + 3x = 6

Add '6' to each side of the equation.
-6 + 6 + 3x = 6 + 6

Combine like terms: -6 + 6 = 0
0 + 3x = 6 + 6
3x = 6 + 6

Combine like terms: 6 + 6 = 12
3x = 12

Divide each side by '3'.
x = 4

Simplifying
x = 4