0.10(x)+0.25(500-x)=0.20(500)

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Solution for 0.10(x)+0.25(500-x)=0.20(500) equation:


Simplifying
0.10(x) + 0.25(500 + -1x) = 0.20(500)
0.10x + (500 * 0.25 + -1x * 0.25) = 0.20(500)
0.10x + (125 + -0.25x) = 0.20(500)

Reorder the terms:
125 + 0.10x + -0.25x = 0.20(500)

Combine like terms: 0.10x + -0.25x = -0.15x
125 + -0.15x = 0.20(500)

Multiply 0.20 * 500
125 + -0.15x = 100

Solving
125 + -0.15x = 100

Solving for variable 'x'.

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

Add '-125' to each side of the equation.
125 + -125 + -0.15x = 100 + -125

Combine like terms: 125 + -125 = 0
0 + -0.15x = 100 + -125
-0.15x = 100 + -125

Combine like terms: 100 + -125 = -25
-0.15x = -25

Divide each side by '-0.15'.
x = 166.6666667

Simplifying
x = 166.6666667

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