0.75(80-x)+0.5(20+2x)=13+5x

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Solution for 0.75(80-x)+0.5(20+2x)=13+5x equation: 


Simplifying
0.75(80 + -1x) + 0.5(20 + 2x) = 13 + 5x
(80 * 0.75 + -1x * 0.75) + 0.5(20 + 2x) = 13 + 5x
(60 + -0.75x) + 0.5(20 + 2x) = 13 + 5x
60 + -0.75x + (20 * 0.5 + 2x * 0.5) = 13 + 5x
60 + -0.75x + (10 + 1x) = 13 + 5x

Reorder the terms:
60 + 10 + -0.75x + 1x = 13 + 5x

Combine like terms: 60 + 10 = 70
70 + -0.75x + 1x = 13 + 5x

Combine like terms: -0.75x + 1x = 0.25x
70 + 0.25x = 13 + 5x

Solving
70 + 0.25x = 13 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
70 + 0.25x + -5x = 13 + 5x + -5x

Combine like terms: 0.25x + -5x = -4.75x
70 + -4.75x = 13 + 5x + -5x

Combine like terms: 5x + -5x = 0
70 + -4.75x = 13 + 0
70 + -4.75x = 13

Add '-70' to each side of the equation.
70 + -70 + -4.75x = 13 + -70

Combine like terms: 70 + -70 = 0
0 + -4.75x = 13 + -70
-4.75x = 13 + -70

Combine like terms: 13 + -70 = -57
-4.75x = -57

Divide each side by '-4.75'.
x = 12

Simplifying
x = 12

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