(x+100)+(x)+(x-50)=500

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Solution for (x+100)+(x)+(x-50)=500 equation:


Simplifying
(x + 100) + (x) + (x + -50) = 500

Reorder the terms:
(100 + x) + (x) + (x + -50) = 500

Remove parenthesis around (100 + x)
100 + x + (x) + (x + -50) = 500
100 + x + x + (x + -50) = 500

Reorder the terms:
100 + x + x + (-50 + x) = 500

Remove parenthesis around (-50 + x)
100 + x + x + -50 + x = 500

Reorder the terms:
100 + -50 + x + x + x = 500

Combine like terms: 100 + -50 = 50
50 + x + x + x = 500

Combine like terms: x + x = 2x
50 + 2x + x = 500

Combine like terms: 2x + x = 3x
50 + 3x = 500

Solving
50 + 3x = 500

Solving for variable 'x'.

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

Add '-50' to each side of the equation.
50 + -50 + 3x = 500 + -50

Combine like terms: 50 + -50 = 0
0 + 3x = 500 + -50
3x = 500 + -50

Combine like terms: 500 + -50 = 450
3x = 450

Divide each side by '3'.
x = 150

Simplifying
x = 150

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