0.08x+0.11(500-x)=50.5

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Solution for 0.08x+0.11(500-x)=50.5 equation: 


Simplifying
0.08x + 0.11(500 + -1x) = 50.5
0.08x + (500 * 0.11 + -1x * 0.11) = 50.5
0.08x + (55 + -0.11x) = 50.5

Reorder the terms:
55 + 0.08x + -0.11x = 50.5

Combine like terms: 0.08x + -0.11x = -0.03x
55 + -0.03x = 50.5

Solving
55 + -0.03x = 50.5

Solving for variable 'x'.

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

Add '-55' to each side of the equation.
55 + -55 + -0.03x = 50.5 + -55

Combine like terms: 55 + -55 = 0
0 + -0.03x = 50.5 + -55
-0.03x = 50.5 + -55

Combine like terms: 50.5 + -55 = -4.5
-0.03x = -4.5

Divide each side by '-0.03'.
x = 150

Simplifying
x = 150

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