0.5(x-5)+x-5+x=100

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Solution for 0.5(x-5)+x-5+x=100 equation: 


Simplifying
0.5(x + -5) + x + -5 + x = 100

Reorder the terms:
0.5(-5 + x) + x + -5 + x = 100
(-5 * 0.5 + x * 0.5) + x + -5 + x = 100
(-2.5 + 0.5x) + x + -5 + x = 100

Reorder the terms:
-2.5 + -5 + 0.5x + x + x = 100

Combine like terms: -2.5 + -5 = -7.5
-7.5 + 0.5x + x + x = 100

Combine like terms: 0.5x + x = 1.5x
-7.5 + 1.5x + x = 100

Combine like terms: 1.5x + x = 2.5x
-7.5 + 2.5x = 100

Solving
-7.5 + 2.5x = 100

Solving for variable 'x'.

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

Add '7.5' to each side of the equation.
-7.5 + 7.5 + 2.5x = 100 + 7.5

Combine like terms: -7.5 + 7.5 = 0.0
0.0 + 2.5x = 100 + 7.5
2.5x = 100 + 7.5

Combine like terms: 100 + 7.5 = 107.5
2.5x = 107.5

Divide each side by '2.5'.
x = 43

Simplifying
x = 43

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