(x-2)5=x

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


Simplifying
(x + -2) * 5 = x

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

Reorder the terms for easier multiplication:
5(-2 + x) = x
(-2 * 5 + x * 5) = x
(-10 + 5x) = x

Solving
-10 + 5x = 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.
-10 + 5x + -1x = x + -1x

Combine like terms: 5x + -1x = 4x
-10 + 4x = x + -1x

Combine like terms: x + -1x = 0
-10 + 4x = 0

Add '10' to each side of the equation.
-10 + 10 + 4x = 0 + 10

Combine like terms: -10 + 10 = 0
0 + 4x = 0 + 10
4x = 0 + 10

Combine like terms: 0 + 10 = 10
4x = 10

Divide each side by '4'.
x = 2.5

Simplifying
x = 2.5

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