(20+.5x)+.15(29+.5x)=62.10

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Solution for (20+.5x)+.15(29+.5x)=62.10 equation:


Simplifying
(20 + 0.5x) + 0.15(29 + 0.5x) = 62.10

Remove parenthesis around (20 + 0.5x)
20 + 0.5x + 0.15(29 + 0.5x) = 62.10
20 + 0.5x + (29 * 0.15 + 0.5x * 0.15) = 62.10
20 + 0.5x + (4.35 + 0.075x) = 62.10

Reorder the terms:
20 + 4.35 + 0.5x + 0.075x = 62.10

Combine like terms: 20 + 4.35 = 24.35
24.35 + 0.5x + 0.075x = 62.10

Combine like terms: 0.5x + 0.075x = 0.575x
24.35 + 0.575x = 62.10

Solving
24.35 + 0.575x = 62.10

Solving for variable 'x'.

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

Add '-24.35' to each side of the equation.
24.35 + -24.35 + 0.575x = 62.10 + -24.35

Combine like terms: 24.35 + -24.35 = 0.00
0.00 + 0.575x = 62.10 + -24.35
0.575x = 62.10 + -24.35

Combine like terms: 62.10 + -24.35 = 37.75
0.575x = 37.75

Divide each side by '0.575'.
x = 65.65217391

Simplifying
x = 65.65217391

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