36(14-2.5x)=14(2x-7)+23.8

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Solution for 36(14-2.5x)=14(2x-7)+23.8 equation: 


Simplifying
36(14 + -2.5x) = 14(2x + -7) + 23.8
(14 * 36 + -2.5x * 36) = 14(2x + -7) + 23.8
(504 + -90x) = 14(2x + -7) + 23.8

Reorder the terms:
504 + -90x = 14(-7 + 2x) + 23.8
504 + -90x = (-7 * 14 + 2x * 14) + 23.8
504 + -90x = (-98 + 28x) + 23.8

Reorder the terms:
504 + -90x = -98 + 23.8 + 28x

Combine like terms: -98 + 23.8 = -74.2
504 + -90x = -74.2 + 28x

Solving
504 + -90x = -74.2 + 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.
504 + -90x + -28x = -74.2 + 28x + -28x

Combine like terms: -90x + -28x = -118x
504 + -118x = -74.2 + 28x + -28x

Combine like terms: 28x + -28x = 0
504 + -118x = -74.2 + 0
504 + -118x = -74.2

Add '-504' to each side of the equation.
504 + -504 + -118x = -74.2 + -504

Combine like terms: 504 + -504 = 0
0 + -118x = -74.2 + -504
-118x = -74.2 + -504

Combine like terms: -74.2 + -504 = -578.2
-118x = -578.2

Divide each side by '-118'.
x = 4.9

Simplifying
x = 4.9

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