(2x-9)=(x-2)

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Solution for (2x-9)=(x-2) equation:


Simplifying
(2x + -9) = (x + -2)

Reorder the terms:
(-9 + 2x) = (x + -2)

Remove parenthesis around (-9 + 2x)
-9 + 2x = (x + -2)

Reorder the terms:
-9 + 2x = (-2 + x)

Remove parenthesis around (-2 + x)
-9 + 2x = -2 + x

Solving
-9 + 2x = -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.
-9 + 2x + -1x = -2 + x + -1x

Combine like terms: 2x + -1x = 1x
-9 + 1x = -2 + x + -1x

Combine like terms: x + -1x = 0
-9 + 1x = -2 + 0
-9 + 1x = -2

Add '9' to each side of the equation.
-9 + 9 + 1x = -2 + 9

Combine like terms: -9 + 9 = 0
0 + 1x = -2 + 9
1x = -2 + 9

Combine like terms: -2 + 9 = 7
1x = 7

Divide each side by '1'.
x = 7

Simplifying
x = 7

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