34(5-3.5x)=12(3x-8)+653.5

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Solution for 34(5-3.5x)=12(3x-8)+653.5 equation: 


Simplifying
34(5 + -3.5x) = 12(3x + -8) + 653.5
(5 * 34 + -3.5x * 34) = 12(3x + -8) + 653.5
(170 + -119x) = 12(3x + -8) + 653.5

Reorder the terms:
170 + -119x = 12(-8 + 3x) + 653.5
170 + -119x = (-8 * 12 + 3x * 12) + 653.5
170 + -119x = (-96 + 36x) + 653.5

Reorder the terms:
170 + -119x = -96 + 653.5 + 36x

Combine like terms: -96 + 653.5 = 557.5
170 + -119x = 557.5 + 36x

Solving
170 + -119x = 557.5 + 36x

Solving for variable 'x'.

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

Add '-36x' to each side of the equation.
170 + -119x + -36x = 557.5 + 36x + -36x

Combine like terms: -119x + -36x = -155x
170 + -155x = 557.5 + 36x + -36x

Combine like terms: 36x + -36x = 0
170 + -155x = 557.5 + 0
170 + -155x = 557.5

Add '-170' to each side of the equation.
170 + -170 + -155x = 557.5 + -170

Combine like terms: 170 + -170 = 0
0 + -155x = 557.5 + -170
-155x = 557.5 + -170

Combine like terms: 557.5 + -170 = 387.5
-155x = 387.5

Divide each side by '-155'.
x = -2.5

Simplifying
x = -2.5

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