9[8-(-4x-7)]=180x+387

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Solution for 9[8-(-4x-7)]=180x+387 equation:


Simplifying
9[8 + -1(-4x + -7)] = 180x + 387

Reorder the terms:
9[8 + -1(-7 + -4x)] = 180x + 387
9[8 + (-7 * -1 + -4x * -1)] = 180x + 387
9[8 + (7 + 4x)] = 180x + 387

Combine like terms: 8 + 7 = 15
9[15 + 4x] = 180x + 387
[15 * 9 + 4x * 9] = 180x + 387
[135 + 36x] = 180x + 387

Reorder the terms:
135 + 36x = 387 + 180x

Solving
135 + 36x = 387 + 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.
135 + 36x + -180x = 387 + 180x + -180x

Combine like terms: 36x + -180x = -144x
135 + -144x = 387 + 180x + -180x

Combine like terms: 180x + -180x = 0
135 + -144x = 387 + 0
135 + -144x = 387

Add '-135' to each side of the equation.
135 + -135 + -144x = 387 + -135

Combine like terms: 135 + -135 = 0
0 + -144x = 387 + -135
-144x = 387 + -135

Combine like terms: 387 + -135 = 252
-144x = 252

Divide each side by '-144'.
x = -1.75

Simplifying
x = -1.75

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