38(10-2.5x)=12(2x-10)+47.8

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Solution for 38(10-2.5x)=12(2x-10)+47.8 equation: 


Simplifying
38(10 + -2.5x) = 12(2x + -10) + 47.8
(10 * 38 + -2.5x * 38) = 12(2x + -10) + 47.8
(380 + -95x) = 12(2x + -10) + 47.8

Reorder the terms:
380 + -95x = 12(-10 + 2x) + 47.8
380 + -95x = (-10 * 12 + 2x * 12) + 47.8
380 + -95x = (-120 + 24x) + 47.8

Reorder the terms:
380 + -95x = -120 + 47.8 + 24x

Combine like terms: -120 + 47.8 = -72.2
380 + -95x = -72.2 + 24x

Solving
380 + -95x = -72.2 + 24x

Solving for variable 'x'.

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

Add '-24x' to each side of the equation.
380 + -95x + -24x = -72.2 + 24x + -24x

Combine like terms: -95x + -24x = -119x
380 + -119x = -72.2 + 24x + -24x

Combine like terms: 24x + -24x = 0
380 + -119x = -72.2 + 0
380 + -119x = -72.2

Add '-380' to each side of the equation.
380 + -380 + -119x = -72.2 + -380

Combine like terms: 380 + -380 = 0
0 + -119x = -72.2 + -380
-119x = -72.2 + -380

Combine like terms: -72.2 + -380 = -452.2
-119x = -452.2

Divide each side by '-119'.
x = 3.8

Simplifying
x = 3.8

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