3(2x+2)=2(x+17)

Solution for 3(2x+2)=2(x+17) equation:

Simplifying
3(2x + 2) = 2(x + 17)

Reorder the terms:
3(2 + 2x) = 2(x + 17)
(2 * 3 + 2x * 3) = 2(x + 17)
(6 + 6x) = 2(x + 17)

Reorder the terms:
6 + 6x = 2(17 + x)
6 + 6x = (17 * 2 + x * 2)
6 + 6x = (34 + 2x)

Solving
6 + 6x = 34 + 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 = 34 + 2x + -2x

Combine like terms: 6x + -2x = 4x
6 + 4x = 34 + 2x + -2x

Combine like terms: 2x + -2x = 0
6 + 4x = 34 + 0
6 + 4x = 34

Add '-6' to each side of the equation.
6 + -6 + 4x = 34 + -6

Combine like terms: 6 + -6 = 0
0 + 4x = 34 + -6
4x = 34 + -6

Combine like terms: 34 + -6 = 28
4x = 28

Divide each side by '4'.
x = 7

Simplifying
x = 7