38(14-5.5x)=12(5x-12)+57.3

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Solution for 38(14-5.5x)=12(5x-12)+57.3 equation: 


Simplifying
38(14 + -5.5x) = 12(5x + -12) + 57.3
(14 * 38 + -5.5x * 38) = 12(5x + -12) + 57.3
(532 + -209x) = 12(5x + -12) + 57.3

Reorder the terms:
532 + -209x = 12(-12 + 5x) + 57.3
532 + -209x = (-12 * 12 + 5x * 12) + 57.3
532 + -209x = (-144 + 60x) + 57.3

Reorder the terms:
532 + -209x = -144 + 57.3 + 60x

Combine like terms: -144 + 57.3 = -86.7
532 + -209x = -86.7 + 60x

Solving
532 + -209x = -86.7 + 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.
532 + -209x + -60x = -86.7 + 60x + -60x

Combine like terms: -209x + -60x = -269x
532 + -269x = -86.7 + 60x + -60x

Combine like terms: 60x + -60x = 0
532 + -269x = -86.7 + 0
532 + -269x = -86.7

Add '-532' to each side of the equation.
532 + -532 + -269x = -86.7 + -532

Combine like terms: 532 + -532 = 0
0 + -269x = -86.7 + -532
-269x = -86.7 + -532

Combine like terms: -86.7 + -532 = -618.7
-269x = -618.7

Divide each side by '-269'.
x = 2.3

Simplifying
x = 2.3

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