4x+6=(x+6)*2

Solution for 4x+6=(x+6)*2 equation:

Simplifying
4x + 6 = (x + 6) * 2

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

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

Reorder the terms for easier multiplication:
6 + 4x = 2(6 + x)
6 + 4x = (6 * 2 + x * 2)
6 + 4x = (12 + 2x)

Solving
6 + 4x = 12 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
6 + 4x + -2x = 12 + 2x + -2x

Combine like terms: 4x + -2x = 2x
6 + 2x = 12 + 2x + -2x

Combine like terms: 2x + -2x = 0
6 + 2x = 12 + 0
6 + 2x = 12

Add '-6' to each side of the equation.
6 + -6 + 2x = 12 + -6

Combine like terms: 6 + -6 = 0
0 + 2x = 12 + -6
2x = 12 + -6

Combine like terms: 12 + -6 = 6
2x = 6

Divide each side by '2'.
x = 3

Simplifying
x = 3