-(x-5)=x-2

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


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

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

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

Solving
5 + -1x = -2 + 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 + -1x + -1x = -2 + x + -1x

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

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

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

Combine like terms: 5 + -5 = 0
0 + -2x = -2 + -5
-2x = -2 + -5

Combine like terms: -2 + -5 = -7
-2x = -7

Divide each side by '-2'.
x = 3.5

Simplifying
x = 3.5

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