32(6-2.5x)=14(2x-5)+13.6

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Solution for 32(6-2.5x)=14(2x-5)+13.6 equation: 


Simplifying
32(6 + -2.5x) = 14(2x + -5) + 13.6
(6 * 32 + -2.5x * 32) = 14(2x + -5) + 13.6
(192 + -80x) = 14(2x + -5) + 13.6

Reorder the terms:
192 + -80x = 14(-5 + 2x) + 13.6
192 + -80x = (-5 * 14 + 2x * 14) + 13.6
192 + -80x = (-70 + 28x) + 13.6

Reorder the terms:
192 + -80x = -70 + 13.6 + 28x

Combine like terms: -70 + 13.6 = -56.4
192 + -80x = -56.4 + 28x

Solving
192 + -80x = -56.4 + 28x

Solving for variable 'x'.

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

Add '-28x' to each side of the equation.
192 + -80x + -28x = -56.4 + 28x + -28x

Combine like terms: -80x + -28x = -108x
192 + -108x = -56.4 + 28x + -28x

Combine like terms: 28x + -28x = 0
192 + -108x = -56.4 + 0
192 + -108x = -56.4

Add '-192' to each side of the equation.
192 + -192 + -108x = -56.4 + -192

Combine like terms: 192 + -192 = 0
0 + -108x = -56.4 + -192
-108x = -56.4 + -192

Combine like terms: -56.4 + -192 = -248.4
-108x = -248.4

Divide each side by '-108'.
x = 2.3

Simplifying
x = 2.3

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