(2x-5)-(x+7)=2

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Solution for (2x-5)-(x+7)=2 equation:


Simplifying
(2x + -5) + -1(x + 7) = 2

Reorder the terms:
(-5 + 2x) + -1(x + 7) = 2

Remove parenthesis around (-5 + 2x)
-5 + 2x + -1(x + 7) = 2

Reorder the terms:
-5 + 2x + -1(7 + x) = 2
-5 + 2x + (7 * -1 + x * -1) = 2
-5 + 2x + (-7 + -1x) = 2

Reorder the terms:
-5 + -7 + 2x + -1x = 2

Combine like terms: -5 + -7 = -12
-12 + 2x + -1x = 2

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

Solving
-12 + 1x = 2

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

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 = 14
1x = 14

Divide each side by '1'.
x = 14

Simplifying
x = 14

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