38(39-4.5x)=15(4x-8)+31.2

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Solution for 38(39-4.5x)=15(4x-8)+31.2 equation: 


Simplifying
38(39 + -4.5x) = 15(4x + -8) + 31.2
(39 * 38 + -4.5x * 38) = 15(4x + -8) + 31.2
(1482 + -171x) = 15(4x + -8) + 31.2

Reorder the terms:
1482 + -171x = 15(-8 + 4x) + 31.2
1482 + -171x = (-8 * 15 + 4x * 15) + 31.2
1482 + -171x = (-120 + 60x) + 31.2

Reorder the terms:
1482 + -171x = -120 + 31.2 + 60x

Combine like terms: -120 + 31.2 = -88.8
1482 + -171x = -88.8 + 60x

Solving
1482 + -171x = -88.8 + 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.
1482 + -171x + -60x = -88.8 + 60x + -60x

Combine like terms: -171x + -60x = -231x
1482 + -231x = -88.8 + 60x + -60x

Combine like terms: 60x + -60x = 0
1482 + -231x = -88.8 + 0
1482 + -231x = -88.8

Add '-1482' to each side of the equation.
1482 + -1482 + -231x = -88.8 + -1482

Combine like terms: 1482 + -1482 = 0
0 + -231x = -88.8 + -1482
-231x = -88.8 + -1482

Combine like terms: -88.8 + -1482 = -1570.8
-231x = -1570.8

Divide each side by '-231'.
x = 6.8

Simplifying
x = 6.8

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