4(2x-6)=5(x+3)

Solution for 4(2x-6)=5(x+3) equation:

Simplifying
4(2x + -6) = 5(x + 3)

Reorder the terms:
4(-6 + 2x) = 5(x + 3)
(-6 * 4 + 2x * 4) = 5(x + 3)
(-24 + 8x) = 5(x + 3)

Reorder the terms:
-24 + 8x = 5(3 + x)
-24 + 8x = (3 * 5 + x * 5)
-24 + 8x = (15 + 5x)

Solving
-24 + 8x = 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.
-24 + 8x + -5x = 15 + 5x + -5x

Combine like terms: 8x + -5x = 3x
-24 + 3x = 15 + 5x + -5x

Combine like terms: 5x + -5x = 0
-24 + 3x = 15 + 0
-24 + 3x = 15

Add '24' to each side of the equation.
-24 + 24 + 3x = 15 + 24

Combine like terms: -24 + 24 = 0
0 + 3x = 15 + 24
3x = 15 + 24

Combine like terms: 15 + 24 = 39
3x = 39

Divide each side by '3'.
x = 13

Simplifying
x = 13