4[3-(-4x-6)]=112x+180

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Solution for 4[3-(-4x-6)]=112x+180 equation:


Simplifying
4[3 + -1(-4x + -6)] = 112x + 180

Reorder the terms:
4[3 + -1(-6 + -4x)] = 112x + 180
4[3 + (-6 * -1 + -4x * -1)] = 112x + 180
4[3 + (6 + 4x)] = 112x + 180

Combine like terms: 3 + 6 = 9
4[9 + 4x] = 112x + 180
[9 * 4 + 4x * 4] = 112x + 180
[36 + 16x] = 112x + 180

Reorder the terms:
36 + 16x = 180 + 112x

Solving
36 + 16x = 180 + 112x

Solving for variable 'x'.

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

Add '-112x' to each side of the equation.
36 + 16x + -112x = 180 + 112x + -112x

Combine like terms: 16x + -112x = -96x
36 + -96x = 180 + 112x + -112x

Combine like terms: 112x + -112x = 0
36 + -96x = 180 + 0
36 + -96x = 180

Add '-36' to each side of the equation.
36 + -36 + -96x = 180 + -36

Combine like terms: 36 + -36 = 0
0 + -96x = 180 + -36
-96x = 180 + -36

Combine like terms: 180 + -36 = 144
-96x = 144

Divide each side by '-96'.
x = -1.5

Simplifying
x = -1.5

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