-2(4x-3)=3(5x-1)+9

Solution for -2(4x-3)=3(5x-1)+9 equation:

Simplifying
-2(4x + -3) = 3(5x + -1) + 9

Reorder the terms:
-2(-3 + 4x) = 3(5x + -1) + 9
(-3 * -2 + 4x * -2) = 3(5x + -1) + 9
(6 + -8x) = 3(5x + -1) + 9

Reorder the terms:
6 + -8x = 3(-1 + 5x) + 9
6 + -8x = (-1 * 3 + 5x * 3) + 9
6 + -8x = (-3 + 15x) + 9

Reorder the terms:
6 + -8x = -3 + 9 + 15x

Combine like terms: -3 + 9 = 6
6 + -8x = 6 + 15x

Add '-6' to each side of the equation.
6 + -6 + -8x = 6 + -6 + 15x

Combine like terms: 6 + -6 = 0
0 + -8x = 6 + -6 + 15x
-8x = 6 + -6 + 15x

Combine like terms: 6 + -6 = 0
-8x = 0 + 15x
-8x = 15x

Solving
-8x = 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
-8x + -15x = 15x + -15x

Combine like terms: -8x + -15x = -23x
-23x = 15x + -15x

Combine like terms: 15x + -15x = 0
-23x = 0

Divide each side by '-23'.
x = 0

Simplifying
x = 0