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

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


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

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

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

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

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

Solving
-2 + 5x = -5 + 7x

Solving for variable 'x'.

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

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

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

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

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

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

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

Divide each side by '-2'.
x = 1.5

Simplifying
x = 1.5

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