x+(x+100)=500

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


Simplifying
x + (x + 100) = 500

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

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

Reorder the terms:
100 + x + x = 500

Combine like terms: x + x = 2x
100 + 2x = 500

Solving
100 + 2x = 500

Solving for variable 'x'.

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

Add '-100' to each side of the equation.
100 + -100 + 2x = 500 + -100

Combine like terms: 100 + -100 = 0
0 + 2x = 500 + -100
2x = 500 + -100

Combine like terms: 500 + -100 = 400
2x = 400

Divide each side by '2'.
x = 200

Simplifying
x = 200

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