38(10-3.5x)=13(3x-8)+36.8

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Solution for 38(10-3.5x)=13(3x-8)+36.8 equation: 


Simplifying
38(10 + -3.5x) = 13(3x + -8) + 36.8
(10 * 38 + -3.5x * 38) = 13(3x + -8) + 36.8
(380 + -133x) = 13(3x + -8) + 36.8

Reorder the terms:
380 + -133x = 13(-8 + 3x) + 36.8
380 + -133x = (-8 * 13 + 3x * 13) + 36.8
380 + -133x = (-104 + 39x) + 36.8

Reorder the terms:
380 + -133x = -104 + 36.8 + 39x

Combine like terms: -104 + 36.8 = -67.2
380 + -133x = -67.2 + 39x

Solving
380 + -133x = -67.2 + 39x

Solving for variable 'x'.

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

Add '-39x' to each side of the equation.
380 + -133x + -39x = -67.2 + 39x + -39x

Combine like terms: -133x + -39x = -172x
380 + -172x = -67.2 + 39x + -39x

Combine like terms: 39x + -39x = 0
380 + -172x = -67.2 + 0
380 + -172x = -67.2

Add '-380' to each side of the equation.
380 + -380 + -172x = -67.2 + -380

Combine like terms: 380 + -380 = 0
0 + -172x = -67.2 + -380
-172x = -67.2 + -380

Combine like terms: -67.2 + -380 = -447.2
-172x = -447.2

Divide each side by '-172'.
x = 2.6

Simplifying
x = 2.6

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