(4x+6)+6=(7x-6)+6

Solution for (4x+6)+6=(7x-6)+6 equation:

Simplifying
(4x + 6) + 6 = (7x + -6) + 6

Reorder the terms:
(6 + 4x) + 6 = (7x + -6) + 6

Remove parenthesis around (6 + 4x)
6 + 4x + 6 = (7x + -6) + 6

Reorder the terms:
6 + 6 + 4x = (7x + -6) + 6

Combine like terms: 6 + 6 = 12
12 + 4x = (7x + -6) + 6

Reorder the terms:
12 + 4x = (-6 + 7x) + 6

Remove parenthesis around (-6 + 7x)
12 + 4x = -6 + 7x + 6

Reorder the terms:
12 + 4x = -6 + 6 + 7x

Combine like terms: -6 + 6 = 0
12 + 4x = 0 + 7x
12 + 4x = 7x

Solving
12 + 4x = 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
12 + 4x + -7x = 7x + -7x

Combine like terms: 4x + -7x = -3x
12 + -3x = 7x + -7x

Combine like terms: 7x + -7x = 0
12 + -3x = 0

Add '-12' to each side of the equation.
12 + -12 + -3x = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -3x = 0 + -12
-3x = 0 + -12

Combine like terms: 0 + -12 = -12
-3x = -12

Divide each side by '-3'.
x = 4

Simplifying
x = 4