(2x-7)-(x-5)=0

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Solution for (2x-7)-(x-5)=0 equation:


Simplifying
(2x + -7) + -1(x + -5) = 0

Reorder the terms:
(-7 + 2x) + -1(x + -5) = 0

Remove parenthesis around (-7 + 2x)
-7 + 2x + -1(x + -5) = 0

Reorder the terms:
-7 + 2x + -1(-5 + x) = 0
-7 + 2x + (-5 * -1 + x * -1) = 0
-7 + 2x + (5 + -1x) = 0

Reorder the terms:
-7 + 5 + 2x + -1x = 0

Combine like terms: -7 + 5 = -2
-2 + 2x + -1x = 0

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

Solving
-2 + 1x = 0

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + 1x = 0 + 2

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

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

Divide each side by '1'.
x = 2

Simplifying
x = 2

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