(X-3)-(x-5)+2x=0

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Solution for (X-3)-(x-5)+2x=0 equation:


Simplifying
(X + -3) + -1(x + -5) + 2x = 0

Reorder the terms:
(-3 + X) + -1(x + -5) + 2x = 0

Remove parenthesis around (-3 + X)
-3 + X + -1(x + -5) + 2x = 0

Reorder the terms:
-3 + X + -1(-5 + x) + 2x = 0
-3 + X + (-5 * -1 + x * -1) + 2x = 0
-3 + X + (5 + -1x) + 2x = 0

Reorder the terms:
-3 + 5 + X + -1x + 2x = 0

Combine like terms: -3 + 5 = 2
2 + X + -1x + 2x = 0

Combine like terms: -1x + 2x = 1x
2 + X + 1x = 0

Solving
2 + X + 1x = 0

Solving for variable 'X'.

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

Add '-2' to each side of the equation.
2 + X + -2 + 1x = 0 + -2

Reorder the terms:
2 + -2 + X + 1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + X + 1x = 0 + -2
X + 1x = 0 + -2

Combine like terms: 0 + -2 = -2
X + 1x = -2

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

Combine like terms: 1x + -1x = 0
X + 0 = -2 + -1x
X = -2 + -1x

Simplifying
X = -2 + -1x

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