x+6=2(2x-3)

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

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

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

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

Solving
6 + x = -6 + 4x

Solving for variable 'x'.

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

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

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

Combine like terms: 4x + -4x = 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