4[9-(-8x-4)]=288x+180

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Solution for 4[9-(-8x-4)]=288x+180 equation: 


Simplifying
4[9 + -1(-8x + -4)] = 288x + 180

Reorder the terms:
4[9 + -1(-4 + -8x)] = 288x + 180
4[9 + (-4 * -1 + -8x * -1)] = 288x + 180
4[9 + (4 + 8x)] = 288x + 180

Combine like terms: 9 + 4 = 13
4[13 + 8x] = 288x + 180
[13 * 4 + 8x * 4] = 288x + 180
[52 + 32x] = 288x + 180

Reorder the terms:
52 + 32x = 180 + 288x

Solving
52 + 32x = 180 + 288x

Solving for variable 'x'.

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

Add '-288x' to each side of the equation.
52 + 32x + -288x = 180 + 288x + -288x

Combine like terms: 32x + -288x = -256x
52 + -256x = 180 + 288x + -288x

Combine like terms: 288x + -288x = 0
52 + -256x = 180 + 0
52 + -256x = 180

Add '-52' to each side of the equation.
52 + -52 + -256x = 180 + -52

Combine like terms: 52 + -52 = 0
0 + -256x = 180 + -52
-256x = 180 + -52

Combine like terms: 180 + -52 = 128
-256x = 128

Divide each side by '-256'.
x = -0.5

Simplifying
x = -0.5

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