38(28-3.5x)=13(3x-9)+45.8

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Solution for 38(28-3.5x)=13(3x-9)+45.8 equation: 


Simplifying
38(28 + -3.5x) = 13(3x + -9) + 45.8
(28 * 38 + -3.5x * 38) = 13(3x + -9) + 45.8
(1064 + -133x) = 13(3x + -9) + 45.8

Reorder the terms:
1064 + -133x = 13(-9 + 3x) + 45.8
1064 + -133x = (-9 * 13 + 3x * 13) + 45.8
1064 + -133x = (-117 + 39x) + 45.8

Reorder the terms:
1064 + -133x = -117 + 45.8 + 39x

Combine like terms: -117 + 45.8 = -71.2
1064 + -133x = -71.2 + 39x

Solving
1064 + -133x = -71.2 + 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.
1064 + -133x + -39x = -71.2 + 39x + -39x

Combine like terms: -133x + -39x = -172x
1064 + -172x = -71.2 + 39x + -39x

Combine like terms: 39x + -39x = 0
1064 + -172x = -71.2 + 0
1064 + -172x = -71.2

Add '-1064' to each side of the equation.
1064 + -1064 + -172x = -71.2 + -1064

Combine like terms: 1064 + -1064 = 0
0 + -172x = -71.2 + -1064
-172x = -71.2 + -1064

Combine like terms: -71.2 + -1064 = -1135.2
-172x = -1135.2

Divide each side by '-172'.
x = 6.6

Simplifying
x = 6.6

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