-8.5(3.5x-6.5)=-29.5+6x

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Solution for -8.5(3.5x-6.5)=-29.5+6x equation: 


Simplifying
-8.5(3.5x + -6.5) = -29.5 + 6x

Reorder the terms:
-8.5(-6.5 + 3.5x) = -29.5 + 6x
(-6.5 * -8.5 + 3.5x * -8.5) = -29.5 + 6x
(55.25 + -29.75x) = -29.5 + 6x

Solving
55.25 + -29.75x = -29.5 + 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.
55.25 + -29.75x + -6x = -29.5 + 6x + -6x

Combine like terms: -29.75x + -6x = -35.75x
55.25 + -35.75x = -29.5 + 6x + -6x

Combine like terms: 6x + -6x = 0
55.25 + -35.75x = -29.5 + 0
55.25 + -35.75x = -29.5

Add '-55.25' to each side of the equation.
55.25 + -55.25 + -35.75x = -29.5 + -55.25

Combine like terms: 55.25 + -55.25 = 0.00
0.00 + -35.75x = -29.5 + -55.25
-35.75x = -29.5 + -55.25

Combine like terms: -29.5 + -55.25 = -84.75
-35.75x = -84.75

Divide each side by '-35.75'.
x = 2.370629371

Simplifying
x = 2.370629371

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