2(3x+3)=5(x+1)

Solution for 2(3x+3)=5(x+1) equation:

Simplifying
2(3x + 3) = 5(x + 1)

Reorder the terms:
2(3 + 3x) = 5(x + 1)
(3 * 2 + 3x * 2) = 5(x + 1)
(6 + 6x) = 5(x + 1)

Reorder the terms:
6 + 6x = 5(1 + x)
6 + 6x = (1 * 5 + x * 5)
6 + 6x = (5 + 5x)

Solving
6 + 6x = 5 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
6 + 6x + -5x = 5 + 5x + -5x

Combine like terms: 6x + -5x = 1x
6 + 1x = 5 + 5x + -5x

Combine like terms: 5x + -5x = 0
6 + 1x = 5 + 0
6 + 1x = 5

Add '-6' to each side of the equation.
6 + -6 + 1x = 5 + -6

Combine like terms: 6 + -6 = 0
0 + 1x = 5 + -6
1x = 5 + -6

Combine like terms: 5 + -6 = -1
1x = -1

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

Simplifying
x = -1