9(36.6-4.5x)-14=9(11-2.2x)-7(3.2-4.8x)

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Solution for 9(36.6-4.5x)-14=9(11-2.2x)-7(3.2-4.8x) equation: 


Simplifying
9(36.6 + -4.5x) + -14 = 9(11 + -2.2x) + -7(3.2 + -4.8x)
(36.6 * 9 + -4.5x * 9) + -14 = 9(11 + -2.2x) + -7(3.2 + -4.8x)
(329.4 + -40.5x) + -14 = 9(11 + -2.2x) + -7(3.2 + -4.8x)

Reorder the terms:
329.4 + -14 + -40.5x = 9(11 + -2.2x) + -7(3.2 + -4.8x)

Combine like terms: 329.4 + -14 = 315.4
315.4 + -40.5x = 9(11 + -2.2x) + -7(3.2 + -4.8x)
315.4 + -40.5x = (11 * 9 + -2.2x * 9) + -7(3.2 + -4.8x)
315.4 + -40.5x = (99 + -19.8x) + -7(3.2 + -4.8x)
315.4 + -40.5x = 99 + -19.8x + (3.2 * -7 + -4.8x * -7)
315.4 + -40.5x = 99 + -19.8x + (-22.4 + 33.6x)

Reorder the terms:
315.4 + -40.5x = 99 + -22.4 + -19.8x + 33.6x

Combine like terms: 99 + -22.4 = 76.6
315.4 + -40.5x = 76.6 + -19.8x + 33.6x

Combine like terms: -19.8x + 33.6x = 13.8x
315.4 + -40.5x = 76.6 + 13.8x

Solving
315.4 + -40.5x = 76.6 + 13.8x

Solving for variable 'x'.

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

Add '-13.8x' to each side of the equation.
315.4 + -40.5x + -13.8x = 76.6 + 13.8x + -13.8x

Combine like terms: -40.5x + -13.8x = -54.3x
315.4 + -54.3x = 76.6 + 13.8x + -13.8x

Combine like terms: 13.8x + -13.8x = 0.0
315.4 + -54.3x = 76.6 + 0.0
315.4 + -54.3x = 76.6

Add '-315.4' to each side of the equation.
315.4 + -315.4 + -54.3x = 76.6 + -315.4

Combine like terms: 315.4 + -315.4 = 0.0
0.0 + -54.3x = 76.6 + -315.4
-54.3x = 76.6 + -315.4

Combine like terms: 76.6 + -315.4 = -238.8
-54.3x = -238.8

Divide each side by '-54.3'.
x = 4.397790055

Simplifying
x = 4.397790055

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