.50x+.75(-x+20)=11.50

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Solution for .50x+.75(-x+20)=11.50 equation:


Simplifying
0.50x + 0.75(-1x + 20) = 11.50

Reorder the terms:
0.50x + 0.75(20 + -1x) = 11.50
0.50x + (20 * 0.75 + -1x * 0.75) = 11.50
0.50x + (15 + -0.75x) = 11.50

Reorder the terms:
15 + 0.50x + -0.75x = 11.50

Combine like terms: 0.50x + -0.75x = -0.25x
15 + -0.25x = 11.50

Solving
15 + -0.25x = 11.50

Solving for variable 'x'.

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

Add '-15' to each side of the equation.
15 + -15 + -0.25x = 11.50 + -15

Combine like terms: 15 + -15 = 0
0 + -0.25x = 11.50 + -15
-0.25x = 11.50 + -15

Combine like terms: 11.50 + -15 = -3.5
-0.25x = -3.5

Divide each side by '-0.25'.
x = 14

Simplifying
x = 14

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