(2x-5)-(3x-7)=

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Solution for (2x-5)-(3x-7)= equation:


Simplifying
(2x + -5) + -1(3x + -7) = 0

Reorder the terms:
(-5 + 2x) + -1(3x + -7) = 0

Remove parenthesis around (-5 + 2x)
-5 + 2x + -1(3x + -7) = 0

Reorder the terms:
-5 + 2x + -1(-7 + 3x) = 0
-5 + 2x + (-7 * -1 + 3x * -1) = 0
-5 + 2x + (7 + -3x) = 0

Reorder the terms:
-5 + 7 + 2x + -3x = 0

Combine like terms: -5 + 7 = 2
2 + 2x + -3x = 0

Combine like terms: 2x + -3x = -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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