6[7-(-6X-3)]=180X+132

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Solution for 6[7-(-6X-3)]=180X+132 equation: 


Simplifying
6[7 + -1(-6X + -3)] = 180X + 132

Reorder the terms:
6[7 + -1(-3 + -6X)] = 180X + 132
6[7 + (-3 * -1 + -6X * -1)] = 180X + 132
6[7 + (3 + 6X)] = 180X + 132

Combine like terms: 7 + 3 = 10
6[10 + 6X] = 180X + 132
[10 * 6 + 6X * 6] = 180X + 132
[60 + 36X] = 180X + 132

Reorder the terms:
60 + 36X = 132 + 180X

Solving
60 + 36X = 132 + 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.
60 + 36X + -180X = 132 + 180X + -180X

Combine like terms: 36X + -180X = -144X
60 + -144X = 132 + 180X + -180X

Combine like terms: 180X + -180X = 0
60 + -144X = 132 + 0
60 + -144X = 132

Add '-60' to each side of the equation.
60 + -60 + -144X = 132 + -60

Combine like terms: 60 + -60 = 0
0 + -144X = 132 + -60
-144X = 132 + -60

Combine like terms: 132 + -60 = 72
-144X = 72

Divide each side by '-144'.
X = -0.5

Simplifying
X = -0.5

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