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

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

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

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

Reorder the terms:
-6 + 6x = 5(3 + x)
-6 + 6x = (3 * 5 + x * 5)
-6 + 6x = (15 + 5x)

Solving
-6 + 6x = 15 + 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 = 15 + 5x + -5x

Combine like terms: 6x + -5x = 1x
-6 + 1x = 15 + 5x + -5x

Combine like terms: 5x + -5x = 0
-6 + 1x = 15 + 0
-6 + 1x = 15

Add '6' to each side of the equation.
-6 + 6 + 1x = 15 + 6

Combine like terms: -6 + 6 = 0
0 + 1x = 15 + 6
1x = 15 + 6

Combine like terms: 15 + 6 = 21
1x = 21

Divide each side by '1'.
x = 21

Simplifying
x = 21