4[9-(-5x-5)]=180x+216

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Solution for 4[9-(-5x-5)]=180x+216 equation:


Simplifying
4[9 + -1(-5x + -5)] = 180x + 216

Reorder the terms:
4[9 + -1(-5 + -5x)] = 180x + 216
4[9 + (-5 * -1 + -5x * -1)] = 180x + 216
4[9 + (5 + 5x)] = 180x + 216

Combine like terms: 9 + 5 = 14
4[14 + 5x] = 180x + 216
[14 * 4 + 5x * 4] = 180x + 216
[56 + 20x] = 180x + 216

Reorder the terms:
56 + 20x = 216 + 180x

Solving
56 + 20x = 216 + 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.
56 + 20x + -180x = 216 + 180x + -180x

Combine like terms: 20x + -180x = -160x
56 + -160x = 216 + 180x + -180x

Combine like terms: 180x + -180x = 0
56 + -160x = 216 + 0
56 + -160x = 216

Add '-56' to each side of the equation.
56 + -56 + -160x = 216 + -56

Combine like terms: 56 + -56 = 0
0 + -160x = 216 + -56
-160x = 216 + -56

Combine like terms: 216 + -56 = 160
-160x = 160

Divide each side by '-160'.
x = -1

Simplifying
x = -1

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