0.275x+0.725(500-x)=300

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Solution for 0.275x+0.725(500-x)=300 equation: 


Simplifying
0.275x + 0.725(500 + -1x) = 300
0.275x + (500 * 0.725 + -1x * 0.725) = 300
0.275x + (362.5 + -0.725x) = 300

Reorder the terms:
362.5 + 0.275x + -0.725x = 300

Combine like terms: 0.275x + -0.725x = -0.45x
362.5 + -0.45x = 300

Solving
362.5 + -0.45x = 300

Solving for variable 'x'.

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

Add '-362.5' to each side of the equation.
362.5 + -362.5 + -0.45x = 300 + -362.5

Combine like terms: 362.5 + -362.5 = 0.0
0.0 + -0.45x = 300 + -362.5
-0.45x = 300 + -362.5

Combine like terms: 300 + -362.5 = -62.5
-0.45x = -62.5

Divide each side by '-0.45'.
x = 138.8888889

Simplifying
x = 138.8888889

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