-5(3x-3)=2(x-1)-85

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Solution for -5(3x-3)=2(x-1)-85 equation: 


Simplifying
-5(3x + -3) = 2(x + -1) + -85

Reorder the terms:
-5(-3 + 3x) = 2(x + -1) + -85
(-3 * -5 + 3x * -5) = 2(x + -1) + -85
(15 + -15x) = 2(x + -1) + -85

Reorder the terms:
15 + -15x = 2(-1 + x) + -85
15 + -15x = (-1 * 2 + x * 2) + -85
15 + -15x = (-2 + 2x) + -85

Reorder the terms:
15 + -15x = -2 + -85 + 2x

Combine like terms: -2 + -85 = -87
15 + -15x = -87 + 2x

Solving
15 + -15x = -87 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
15 + -15x + -2x = -87 + 2x + -2x

Combine like terms: -15x + -2x = -17x
15 + -17x = -87 + 2x + -2x

Combine like terms: 2x + -2x = 0
15 + -17x = -87 + 0
15 + -17x = -87

Add '-15' to each side of the equation.
15 + -15 + -17x = -87 + -15

Combine like terms: 15 + -15 = 0
0 + -17x = -87 + -15
-17x = -87 + -15

Combine like terms: -87 + -15 = -102
-17x = -102

Divide each side by '-17'.
x = 6

Simplifying
x = 6

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