9(-5x+12)=2(85+3x)

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Solution for 9(-5x+12)=2(85+3x) equation:


Simplifying
9(-5x + 12) = 2(85 + 3x)

Reorder the terms:
9(12 + -5x) = 2(85 + 3x)
(12 * 9 + -5x * 9) = 2(85 + 3x)
(108 + -45x) = 2(85 + 3x)
108 + -45x = (85 * 2 + 3x * 2)
108 + -45x = (170 + 6x)

Solving
108 + -45x = 170 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
108 + -45x + -6x = 170 + 6x + -6x

Combine like terms: -45x + -6x = -51x
108 + -51x = 170 + 6x + -6x

Combine like terms: 6x + -6x = 0
108 + -51x = 170 + 0
108 + -51x = 170

Add '-108' to each side of the equation.
108 + -108 + -51x = 170 + -108

Combine like terms: 108 + -108 = 0
0 + -51x = 170 + -108
-51x = 170 + -108

Combine like terms: 170 + -108 = 62
-51x = 62

Divide each side by '-51'.
x = -1.215686275

Simplifying
x = -1.215686275

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