5-(x-2)=x-2

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


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

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

Combine like terms: 5 + 2 = 7
7 + -1x = x + -2

Reorder the terms:
7 + -1x = -2 + x

Solving
7 + -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.
7 + -1x + -1x = -2 + x + -1x

Combine like terms: -1x + -1x = -2x
7 + -2x = -2 + x + -1x

Combine like terms: x + -1x = 0
7 + -2x = -2 + 0
7 + -2x = -2

Add '-7' to each side of the equation.
7 + -7 + -2x = -2 + -7

Combine like terms: 7 + -7 = 0
0 + -2x = -2 + -7
-2x = -2 + -7

Combine like terms: -2 + -7 = -9
-2x = -9

Divide each side by '-2'.
x = 4.5

Simplifying
x = 4.5

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