3(x+1)=2(x+3)-6

Solution for 3(x+1)=2(x+3)-6 equation:

Simplifying
3(x + 1) = 2(x + 3) + -6

Reorder the terms:
3(1 + x) = 2(x + 3) + -6
(1 * 3 + x * 3) = 2(x + 3) + -6
(3 + 3x) = 2(x + 3) + -6

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

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

Combine like terms: 6 + -6 = 0
3 + 3x = 0 + 2x
3 + 3x = 2x

Solving
3 + 3x = 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.
3 + 3x + -2x = 2x + -2x

Combine like terms: 3x + -2x = 1x
3 + 1x = 2x + -2x

Combine like terms: 2x + -2x = 0
3 + 1x = 0

Add '-3' to each side of the equation.
3 + -3 + 1x = 0 + -3

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

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

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

Simplifying
x = -3