-6(4x-5)=3(4x-4)+78

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Solution for -6(4x-5)=3(4x-4)+78 equation: 


Simplifying
-6(4x + -5) = 3(4x + -4) + 78

Reorder the terms:
-6(-5 + 4x) = 3(4x + -4) + 78
(-5 * -6 + 4x * -6) = 3(4x + -4) + 78
(30 + -24x) = 3(4x + -4) + 78

Reorder the terms:
30 + -24x = 3(-4 + 4x) + 78
30 + -24x = (-4 * 3 + 4x * 3) + 78
30 + -24x = (-12 + 12x) + 78

Reorder the terms:
30 + -24x = -12 + 78 + 12x

Combine like terms: -12 + 78 = 66
30 + -24x = 66 + 12x

Solving
30 + -24x = 66 + 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.
30 + -24x + -12x = 66 + 12x + -12x

Combine like terms: -24x + -12x = -36x
30 + -36x = 66 + 12x + -12x

Combine like terms: 12x + -12x = 0
30 + -36x = 66 + 0
30 + -36x = 66

Add '-30' to each side of the equation.
30 + -30 + -36x = 66 + -30

Combine like terms: 30 + -30 = 0
0 + -36x = 66 + -30
-36x = 66 + -30

Combine like terms: 66 + -30 = 36
-36x = 36

Divide each side by '-36'.
x = -1

Simplifying
x = -1

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