7(36.6-4.8x)-11=8(11-2.2x)-7(3.5-4.4x)

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Solution for 7(36.6-4.8x)-11=8(11-2.2x)-7(3.5-4.4x) equation: 


Simplifying
7(36.6 + -4.8x) + -11 = 8(11 + -2.2x) + -7(3.5 + -4.4x)
(36.6 * 7 + -4.8x * 7) + -11 = 8(11 + -2.2x) + -7(3.5 + -4.4x)
(256.2 + -33.6x) + -11 = 8(11 + -2.2x) + -7(3.5 + -4.4x)

Reorder the terms:
256.2 + -11 + -33.6x = 8(11 + -2.2x) + -7(3.5 + -4.4x)

Combine like terms: 256.2 + -11 = 245.2
245.2 + -33.6x = 8(11 + -2.2x) + -7(3.5 + -4.4x)
245.2 + -33.6x = (11 * 8 + -2.2x * 8) + -7(3.5 + -4.4x)
245.2 + -33.6x = (88 + -17.6x) + -7(3.5 + -4.4x)
245.2 + -33.6x = 88 + -17.6x + (3.5 * -7 + -4.4x * -7)
245.2 + -33.6x = 88 + -17.6x + (-24.5 + 30.8x)

Reorder the terms:
245.2 + -33.6x = 88 + -24.5 + -17.6x + 30.8x

Combine like terms: 88 + -24.5 = 63.5
245.2 + -33.6x = 63.5 + -17.6x + 30.8x

Combine like terms: -17.6x + 30.8x = 13.2x
245.2 + -33.6x = 63.5 + 13.2x

Solving
245.2 + -33.6x = 63.5 + 13.2x

Solving for variable 'x'.

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

Add '-13.2x' to each side of the equation.
245.2 + -33.6x + -13.2x = 63.5 + 13.2x + -13.2x

Combine like terms: -33.6x + -13.2x = -46.8x
245.2 + -46.8x = 63.5 + 13.2x + -13.2x

Combine like terms: 13.2x + -13.2x = 0.0
245.2 + -46.8x = 63.5 + 0.0
245.2 + -46.8x = 63.5

Add '-245.2' to each side of the equation.
245.2 + -245.2 + -46.8x = 63.5 + -245.2

Combine like terms: 245.2 + -245.2 = 0.0
0.0 + -46.8x = 63.5 + -245.2
-46.8x = 63.5 + -245.2

Combine like terms: 63.5 + -245.2 = -181.7
-46.8x = -181.7

Divide each side by '-46.8'.
x = 3.882478632

Simplifying
x = 3.882478632

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