x+(x-10)+(x-10*.5)=100

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Solution for x+(x-10)+(x-10*.5)=100 equation: 


Simplifying
x + (x + -10) + (x + -10 * 0.5) = 100

Reorder the terms:
x + (-10 + x) + (x + -10 * 0.5) = 100

Remove parenthesis around (-10 + x)
x + -10 + x + (x + -10 * 0.5) = 100

Multiply -10 * 0.5
x + -10 + x + (x + -5) = 100

Reorder the terms:
x + -10 + x + (-5 + x) = 100

Remove parenthesis around (-5 + x)
x + -10 + x + -5 + x = 100

Reorder the terms:
-10 + -5 + x + x + x = 100

Combine like terms: -10 + -5 = -15
-15 + x + x + x = 100

Combine like terms: x + x = 2x
-15 + 2x + x = 100

Combine like terms: 2x + x = 3x
-15 + 3x = 100

Solving
-15 + 3x = 100

Solving for variable 'x'.

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

Add '15' to each side of the equation.
-15 + 15 + 3x = 100 + 15

Combine like terms: -15 + 15 = 0
0 + 3x = 100 + 15
3x = 100 + 15

Combine like terms: 100 + 15 = 115
3x = 115

Divide each side by '3'.
x = 38.33333333

Simplifying
x = 38.33333333

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