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 + 5x)

Remove parenthesis around (20 + 0.5x)
62.10 = 20 + 0.5x + 0.15(20 + 5x)
62.10 = 20 + 0.5x + (20 * 0.15 + 5x * 0.15)
62.10 = 20 + 0.5x + (3 + 0.75x)

Reorder the terms:
62.10 = 20 + 3 + 0.5x + 0.75x

Combine like terms: 20 + 3 = 23
62.10 = 23 + 0.5x + 0.75x

Combine like terms: 0.5x + 0.75x = 1.25x
62.10 = 23 + 1.25x

Solving
62.10 = 23 + 1.25x

Solving for variable 'x'.

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

Add '-1.25x' to each side of the equation.
62.10 + -1.25x = 23 + 1.25x + -1.25x

Combine like terms: 1.25x + -1.25x = 0.00
62.10 + -1.25x = 23 + 0.00
62.10 + -1.25x = 23

Add '-62.10' to each side of the equation.
62.10 + -62.10 + -1.25x = 23 + -62.10

Combine like terms: 62.10 + -62.10 = 0.00
0.00 + -1.25x = 23 + -62.10
-1.25x = 23 + -62.10

Combine like terms: 23 + -62.10 = -39.1
-1.25x = -39.1

Divide each side by '-1.25'.
x = 31.28

Simplifying
x = 31.28

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