62.10=(20+0.5x)+0.15(20+.5x)

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Solution for 62.10=(20+0.5x)+0.15(20+.5x) equation: 


Simplifying
62.10 = (20 + 0.5x) + 0.15(20 + 0.5x)

Remove parenthesis around (20 + 0.5x)
62.10 = 20 + 0.5x + 0.15(20 + 0.5x)
62.10 = 20 + 0.5x + (20 * 0.15 + 0.5x * 0.15)
62.10 = 20 + 0.5x + (3 + 0.075x)

Reorder the terms:
62.10 = 20 + 3 + 0.5x + 0.075x

Combine like terms: 20 + 3 = 23
62.10 = 23 + 0.5x + 0.075x

Combine like terms: 0.5x + 0.075x = 0.575x
62.10 = 23 + 0.575x

Solving
62.10 = 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.
62.10 + -0.575x = 23 + 0.575x + -0.575x

Combine like terms: 0.575x + -0.575x = 0.000
62.10 + -0.575x = 23 + 0.000
62.10 + -0.575x = 23

Add '-62.10' to each side of the equation.
62.10 + -62.10 + -0.575x = 23 + -62.10

Combine like terms: 62.10 + -62.10 = 0.00
0.00 + -0.575x = 23 + -62.10
-0.575x = 23 + -62.10

Combine like terms: 23 + -62.10 = -39.1
-0.575x = -39.1

Divide each side by '-0.575'.
x = 68

Simplifying
x = 68

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