(20-(0.5)x)+(20-(0.5)x)+(20-x)+(20-3x)+(20-2x)=10+2x

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Solution for (20-(0.5)x)+(20-(0.5)x)+(20-x)+(20-3x)+(20-2x)=10+2x equation: 


Simplifying
(20 + -1(0.5) * x) + (20 + -1(0.5) * x) + (20 + -1x) + (20 + -3x) + (20 + -2x) = 10 + 2x

Multiply -1 * 0.5
(20 + -0.5x) + (20 + -1(0.5) * x) + (20 + -1x) + (20 + -3x) + (20 + -2x) = 10 + 2x

Remove parenthesis around (20 + -0.5x)
20 + -0.5x + (20 + -1(0.5) * x) + (20 + -1x) + (20 + -3x) + (20 + -2x) = 10 + 2x

Multiply -1 * 0.5
20 + -0.5x + (20 + -0.5x) + (20 + -1x) + (20 + -3x) + (20 + -2x) = 10 + 2x

Remove parenthesis around (20 + -0.5x)
20 + -0.5x + 20 + -0.5x + (20 + -1x) + (20 + -3x) + (20 + -2x) = 10 + 2x

Remove parenthesis around (20 + -1x)
20 + -0.5x + 20 + -0.5x + 20 + -1x + (20 + -3x) + (20 + -2x) = 10 + 2x

Remove parenthesis around (20 + -3x)
20 + -0.5x + 20 + -0.5x + 20 + -1x + 20 + -3x + (20 + -2x) = 10 + 2x

Remove parenthesis around (20 + -2x)
20 + -0.5x + 20 + -0.5x + 20 + -1x + 20 + -3x + 20 + -2x = 10 + 2x

Reorder the terms:
20 + 20 + 20 + 20 + 20 + -0.5x + -0.5x + -1x + -3x + -2x = 10 + 2x

Combine like terms: 20 + 20 = 40
40 + 20 + 20 + 20 + -0.5x + -0.5x + -1x + -3x + -2x = 10 + 2x

Combine like terms: 40 + 20 = 60
60 + 20 + 20 + -0.5x + -0.5x + -1x + -3x + -2x = 10 + 2x

Combine like terms: 60 + 20 = 80
80 + 20 + -0.5x + -0.5x + -1x + -3x + -2x = 10 + 2x

Combine like terms: 80 + 20 = 100
100 + -0.5x + -0.5x + -1x + -3x + -2x = 10 + 2x

Combine like terms: -0.5x + -0.5x = -1x
100 + -1x + -1x + -3x + -2x = 10 + 2x

Combine like terms: -1x + -1x = -2x
100 + -2x + -3x + -2x = 10 + 2x

Combine like terms: -2x + -3x = -5x
100 + -5x + -2x = 10 + 2x

Combine like terms: -5x + -2x = -7x
100 + -7x = 10 + 2x

Solving
100 + -7x = 10 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
100 + -7x + -2x = 10 + 2x + -2x

Combine like terms: -7x + -2x = -9x
100 + -9x = 10 + 2x + -2x

Combine like terms: 2x + -2x = 0
100 + -9x = 10 + 0
100 + -9x = 10

Add '-100' to each side of the equation.
100 + -100 + -9x = 10 + -100

Combine like terms: 100 + -100 = 0
0 + -9x = 10 + -100
-9x = 10 + -100

Combine like terms: 10 + -100 = -90
-9x = -90

Divide each side by '-9'.
x = 10

Simplifying
x = 10

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