38(17-5.5x)=13(5x-9)+23.2

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Solution for 38(17-5.5x)=13(5x-9)+23.2 equation: 


Simplifying
38(17 + -5.5x) = 13(5x + -9) + 23.2
(17 * 38 + -5.5x * 38) = 13(5x + -9) + 23.2
(646 + -209x) = 13(5x + -9) + 23.2

Reorder the terms:
646 + -209x = 13(-9 + 5x) + 23.2
646 + -209x = (-9 * 13 + 5x * 13) + 23.2
646 + -209x = (-117 + 65x) + 23.2

Reorder the terms:
646 + -209x = -117 + 23.2 + 65x

Combine like terms: -117 + 23.2 = -93.8
646 + -209x = -93.8 + 65x

Solving
646 + -209x = -93.8 + 65x

Solving for variable 'x'.

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

Add '-65x' to each side of the equation.
646 + -209x + -65x = -93.8 + 65x + -65x

Combine like terms: -209x + -65x = -274x
646 + -274x = -93.8 + 65x + -65x

Combine like terms: 65x + -65x = 0
646 + -274x = -93.8 + 0
646 + -274x = -93.8

Add '-646' to each side of the equation.
646 + -646 + -274x = -93.8 + -646

Combine like terms: 646 + -646 = 0
0 + -274x = -93.8 + -646
-274x = -93.8 + -646

Combine like terms: -93.8 + -646 = -739.8
-274x = -739.8

Divide each side by '-274'.
x = 2.7

Simplifying
x = 2.7

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