36(25-4.5x)=15(4x-9)+58.2

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Solution for 36(25-4.5x)=15(4x-9)+58.2 equation: 


Simplifying
36(25 + -4.5x) = 15(4x + -9) + 58.2
(25 * 36 + -4.5x * 36) = 15(4x + -9) + 58.2
(900 + -162x) = 15(4x + -9) + 58.2

Reorder the terms:
900 + -162x = 15(-9 + 4x) + 58.2
900 + -162x = (-9 * 15 + 4x * 15) + 58.2
900 + -162x = (-135 + 60x) + 58.2

Reorder the terms:
900 + -162x = -135 + 58.2 + 60x

Combine like terms: -135 + 58.2 = -76.8
900 + -162x = -76.8 + 60x

Solving
900 + -162x = -76.8 + 60x

Solving for variable 'x'.

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

Add '-60x' to each side of the equation.
900 + -162x + -60x = -76.8 + 60x + -60x

Combine like terms: -162x + -60x = -222x
900 + -222x = -76.8 + 60x + -60x

Combine like terms: 60x + -60x = 0
900 + -222x = -76.8 + 0
900 + -222x = -76.8

Add '-900' to each side of the equation.
900 + -900 + -222x = -76.8 + -900

Combine like terms: 900 + -900 = 0
0 + -222x = -76.8 + -900
-222x = -76.8 + -900

Combine like terms: -76.8 + -900 = -976.8
-222x = -976.8

Divide each side by '-222'.
x = 4.4

Simplifying
x = 4.4

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