9[8-(-3x-5)]=189x+387

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Solution for 9[8-(-3x-5)]=189x+387 equation:


Simplifying
9[8 + -1(-3x + -5)] = 189x + 387

Reorder the terms:
9[8 + -1(-5 + -3x)] = 189x + 387
9[8 + (-5 * -1 + -3x * -1)] = 189x + 387
9[8 + (5 + 3x)] = 189x + 387

Combine like terms: 8 + 5 = 13
9[13 + 3x] = 189x + 387
[13 * 9 + 3x * 9] = 189x + 387
[117 + 27x] = 189x + 387

Reorder the terms:
117 + 27x = 387 + 189x

Solving
117 + 27x = 387 + 189x

Solving for variable 'x'.

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

Add '-189x' to each side of the equation.
117 + 27x + -189x = 387 + 189x + -189x

Combine like terms: 27x + -189x = -162x
117 + -162x = 387 + 189x + -189x

Combine like terms: 189x + -189x = 0
117 + -162x = 387 + 0
117 + -162x = 387

Add '-117' to each side of the equation.
117 + -117 + -162x = 387 + -117

Combine like terms: 117 + -117 = 0
0 + -162x = 387 + -117
-162x = 387 + -117

Combine like terms: 387 + -117 = 270
-162x = 270

Divide each side by '-162'.
x = -1.666666667

Simplifying
x = -1.666666667

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