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

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


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

Remove parenthesis around (20 + 0.5x)
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) = 62.10

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

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

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

Solving
23 + 0.575x = 62.10

Solving for variable 'x'.

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

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

Combine like terms: 23 + -23 = 0
0 + 0.575x = 62.10 + -23
0.575x = 62.10 + -23

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

Divide each side by '0.575'.
x = 68

Simplifying
x = 68

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