2x-(5-x)=13

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Solution for 2x-(5-x)=13 equation:


Simplifying
2x + -1(5 + -1x) = 13
2x + (5 * -1 + -1x * -1) = 13
2x + (-5 + 1x) = 13

Reorder the terms:
-5 + 2x + 1x = 13

Combine like terms: 2x + 1x = 3x
-5 + 3x = 13

Solving
-5 + 3x = 13

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 5 + 3x = 13 + 5

Combine like terms: -5 + 5 = 0
0 + 3x = 13 + 5
3x = 13 + 5

Combine like terms: 13 + 5 = 18
3x = 18

Divide each side by '3'.
x = 6

Simplifying
x = 6

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