6[5-(-6x-7)]=180x+240

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Solution for 6[5-(-6x-7)]=180x+240 equation: 


Simplifying
6[5 + -1(-6x + -7)] = 180x + 240

Reorder the terms:
6[5 + -1(-7 + -6x)] = 180x + 240
6[5 + (-7 * -1 + -6x * -1)] = 180x + 240
6[5 + (7 + 6x)] = 180x + 240

Combine like terms: 5 + 7 = 12
6[12 + 6x] = 180x + 240
[12 * 6 + 6x * 6] = 180x + 240
[72 + 36x] = 180x + 240

Reorder the terms:
72 + 36x = 240 + 180x

Solving
72 + 36x = 240 + 180x

Solving for variable 'x'.

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

Add '-180x' to each side of the equation.
72 + 36x + -180x = 240 + 180x + -180x

Combine like terms: 36x + -180x = -144x
72 + -144x = 240 + 180x + -180x

Combine like terms: 180x + -180x = 0
72 + -144x = 240 + 0
72 + -144x = 240

Add '-72' to each side of the equation.
72 + -72 + -144x = 240 + -72

Combine like terms: 72 + -72 = 0
0 + -144x = 240 + -72
-144x = 240 + -72

Combine like terms: 240 + -72 = 168
-144x = 168

Divide each side by '-144'.
x = -1.166666667

Simplifying
x = -1.166666667

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