2(2x-3)+5x=12(4x-9)-15

Solution for 2(2x-3)+5x=12(4x-9)-15 equation:

Simplifying
2(2x + -3) + 5x = 12(4x + -9) + -15

Reorder the terms:
2(-3 + 2x) + 5x = 12(4x + -9) + -15
(-3 * 2 + 2x * 2) + 5x = 12(4x + -9) + -15
(-6 + 4x) + 5x = 12(4x + -9) + -15

Combine like terms: 4x + 5x = 9x
-6 + 9x = 12(4x + -9) + -15

Reorder the terms:
-6 + 9x = 12(-9 + 4x) + -15
-6 + 9x = (-9 * 12 + 4x * 12) + -15
-6 + 9x = (-108 + 48x) + -15

Reorder the terms:
-6 + 9x = -108 + -15 + 48x

Combine like terms: -108 + -15 = -123
-6 + 9x = -123 + 48x

Solving
-6 + 9x = -123 + 48x

Solving for variable 'x'.

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

Add '-48x' to each side of the equation.
-6 + 9x + -48x = -123 + 48x + -48x

Combine like terms: 9x + -48x = -39x
-6 + -39x = -123 + 48x + -48x

Combine like terms: 48x + -48x = 0
-6 + -39x = -123 + 0
-6 + -39x = -123

Add '6' to each side of the equation.
-6 + 6 + -39x = -123 + 6

Combine like terms: -6 + 6 = 0
0 + -39x = -123 + 6
-39x = -123 + 6

Combine like terms: -123 + 6 = -117
-39x = -117

Divide each side by '-39'.
x = 3

Simplifying
x = 3