62.15=(20+0.5x)+.15(20+.5x)

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Solution for 62.15=(20+0.5x)+.15(20+.5x) equation:


Simplifying
62.15 = (20 + 0.5x) + 0.15(20 + 0.5x)

Remove parenthesis around (20 + 0.5x)
62.15 = 20 + 0.5x + 0.15(20 + 0.5x)
62.15 = 20 + 0.5x + (20 * 0.15 + 0.5x * 0.15)
62.15 = 20 + 0.5x + (3 + 0.075x)

Reorder the terms:
62.15 = 20 + 3 + 0.5x + 0.075x

Combine like terms: 20 + 3 = 23
62.15 = 23 + 0.5x + 0.075x

Combine like terms: 0.5x + 0.075x = 0.575x
62.15 = 23 + 0.575x

Solving
62.15 = 23 + 0.575x

Solving for variable 'x'.

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

Add '-0.575x' to each side of the equation.
62.15 + -0.575x = 23 + 0.575x + -0.575x

Combine like terms: 0.575x + -0.575x = 0.000
62.15 + -0.575x = 23 + 0.000
62.15 + -0.575x = 23

Add '-62.15' to each side of the equation.
62.15 + -62.15 + -0.575x = 23 + -62.15

Combine like terms: 62.15 + -62.15 = 0.00
0.00 + -0.575x = 23 + -62.15
-0.575x = 23 + -62.15

Combine like terms: 23 + -62.15 = -39.15
-0.575x = -39.15

Divide each side by '-0.575'.
x = 68.08695652

Simplifying
x = 68.08695652

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