4(x+3)-6=3(x+3)-6

Solution for 4(x+3)-6=3(x+3)-6 equation:

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

Reorder the terms:
4(3 + x) + -6 = 3(x + 3) + -6
(3 * 4 + x * 4) + -6 = 3(x + 3) + -6
(12 + 4x) + -6 = 3(x + 3) + -6

Reorder the terms:
12 + -6 + 4x = 3(x + 3) + -6

Combine like terms: 12 + -6 = 6
6 + 4x = 3(x + 3) + -6

Reorder the terms:
6 + 4x = 3(3 + x) + -6
6 + 4x = (3 * 3 + x * 3) + -6
6 + 4x = (9 + 3x) + -6

Reorder the terms:
6 + 4x = 9 + -6 + 3x

Combine like terms: 9 + -6 = 3
6 + 4x = 3 + 3x

Solving
6 + 4x = 3 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
6 + 4x + -3x = 3 + 3x + -3x

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

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

Add '-6' to each side of the equation.
6 + -6 + 1x = 3 + -6

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

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

Divide each side by '1'.
x = -3

Simplifying
x = -3