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

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

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

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

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

Solving
6 + 6x = 2 + 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 + 6x + -2x = 2 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
6 + 4x = 2 + 0
6 + 4x = 2

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

Combine like terms: 6 + -6 = 0
0 + 4x = 2 + -6
4x = 2 + -6

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

Divide each side by '4'.
x = -1

Simplifying
x = -1