x+(x-5)=x

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


Simplifying
x + (x + -5) = x

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

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

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

Combine like terms: x + x = 2x
-5 + 2x = x

Solving
-5 + 2x = x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-5 + 2x + -1x = x + -1x

Combine like terms: 2x + -1x = 1x
-5 + 1x = x + -1x

Combine like terms: x + -1x = 0
-5 + 1x = 0

Add '5' to each side of the equation.
-5 + 5 + 1x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 1x = 0 + 5
1x = 0 + 5

Combine like terms: 0 + 5 = 5
1x = 5

Divide each side by '1'.
x = 5

Simplifying
x = 5

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