(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 = 2
2 + 2x + -1x = 2

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

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

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

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

Solving
1x = 0

Solving for variable 'x'.

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

Divide each side by '1'.
x = 0

Simplifying
x = 0

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