2x-5-7=x-2

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Solution for 2x-5-7=x-2 equation:


Simplifying
2x + -5 + -7 = x + -2

Reorder the terms:
-5 + -7 + 2x = x + -2

Combine like terms: -5 + -7 = -12
-12 + 2x = x + -2

Reorder the terms:
-12 + 2x = -2 + x

Solving
-12 + 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.
-12 + 2x + -1x = -2 + x + -1x

Combine like terms: 2x + -1x = 1x
-12 + 1x = -2 + x + -1x

Combine like terms: x + -1x = 0
-12 + 1x = -2 + 0
-12 + 1x = -2

Add '12' to each side of the equation.
-12 + 12 + 1x = -2 + 12

Combine like terms: -12 + 12 = 0
0 + 1x = -2 + 12
1x = -2 + 12

Combine like terms: -2 + 12 = 10
1x = 10

Divide each side by '1'.
x = 10

Simplifying
x = 10

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