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

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


Simplifying
(3x + -5) = (5x + -7)

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

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

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

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

Solving
-5 + 3x = -7 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-5 + 3x + -5x = -7 + 5x + -5x

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

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

Add '5' to each side of the equation.
-5 + 5 + -2x = -7 + 5

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

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

Divide each side by '-2'.
x = 1

Simplifying
x = 1

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