3[6-(-4x-6)]=60x+108

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Solution for 3[6-(-4x-6)]=60x+108 equation:


Simplifying
3[6 + -1(-4x + -6)] = 60x + 108

Reorder the terms:
3[6 + -1(-6 + -4x)] = 60x + 108
3[6 + (-6 * -1 + -4x * -1)] = 60x + 108
3[6 + (6 + 4x)] = 60x + 108

Combine like terms: 6 + 6 = 12
3[12 + 4x] = 60x + 108
[12 * 3 + 4x * 3] = 60x + 108
[36 + 12x] = 60x + 108

Reorder the terms:
36 + 12x = 108 + 60x

Solving
36 + 12x = 108 + 60x

Solving for variable 'x'.

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

Add '-60x' to each side of the equation.
36 + 12x + -60x = 108 + 60x + -60x

Combine like terms: 12x + -60x = -48x
36 + -48x = 108 + 60x + -60x

Combine like terms: 60x + -60x = 0
36 + -48x = 108 + 0
36 + -48x = 108

Add '-36' to each side of the equation.
36 + -36 + -48x = 108 + -36

Combine like terms: 36 + -36 = 0
0 + -48x = 108 + -36
-48x = 108 + -36

Combine like terms: 108 + -36 = 72
-48x = 72

Divide each side by '-48'.
x = -1.5

Simplifying
x = -1.5

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