36(21-2.5x)=16(2x-7)+38.4

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Solution for 36(21-2.5x)=16(2x-7)+38.4 equation: 


Simplifying
36(21 + -2.5x) = 16(2x + -7) + 38.4
(21 * 36 + -2.5x * 36) = 16(2x + -7) + 38.4
(756 + -90x) = 16(2x + -7) + 38.4

Reorder the terms:
756 + -90x = 16(-7 + 2x) + 38.4
756 + -90x = (-7 * 16 + 2x * 16) + 38.4
756 + -90x = (-112 + 32x) + 38.4

Reorder the terms:
756 + -90x = -112 + 38.4 + 32x

Combine like terms: -112 + 38.4 = -73.6
756 + -90x = -73.6 + 32x

Solving
756 + -90x = -73.6 + 32x

Solving for variable 'x'.

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

Add '-32x' to each side of the equation.
756 + -90x + -32x = -73.6 + 32x + -32x

Combine like terms: -90x + -32x = -122x
756 + -122x = -73.6 + 32x + -32x

Combine like terms: 32x + -32x = 0
756 + -122x = -73.6 + 0
756 + -122x = -73.6

Add '-756' to each side of the equation.
756 + -756 + -122x = -73.6 + -756

Combine like terms: 756 + -756 = 0
0 + -122x = -73.6 + -756
-122x = -73.6 + -756

Combine like terms: -73.6 + -756 = -829.6
-122x = -829.6

Divide each side by '-122'.
x = 6.8

Simplifying
x = 6.8

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