-6(4x-6)=6(2x-1)+150

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Solution for -6(4x-6)=6(2x-1)+150 equation:


Simplifying
-6(4x + -6) = 6(2x + -1) + 150

Reorder the terms:
-6(-6 + 4x) = 6(2x + -1) + 150
(-6 * -6 + 4x * -6) = 6(2x + -1) + 150
(36 + -24x) = 6(2x + -1) + 150

Reorder the terms:
36 + -24x = 6(-1 + 2x) + 150
36 + -24x = (-1 * 6 + 2x * 6) + 150
36 + -24x = (-6 + 12x) + 150

Reorder the terms:
36 + -24x = -6 + 150 + 12x

Combine like terms: -6 + 150 = 144
36 + -24x = 144 + 12x

Solving
36 + -24x = 144 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
36 + -24x + -12x = 144 + 12x + -12x

Combine like terms: -24x + -12x = -36x
36 + -36x = 144 + 12x + -12x

Combine like terms: 12x + -12x = 0
36 + -36x = 144 + 0
36 + -36x = 144

Add '-36' to each side of the equation.
36 + -36 + -36x = 144 + -36

Combine like terms: 36 + -36 = 0
0 + -36x = 144 + -36
-36x = 144 + -36

Combine like terms: 144 + -36 = 108
-36x = 108

Divide each side by '-36'.
x = -3

Simplifying
x = -3

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