(5x-8)=(2x-5)

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Solution for (5x-8)=(2x-5) equation:


Simplifying
(5x + -8) = (2x + -5)

Reorder the terms:
(-8 + 5x) = (2x + -5)

Remove parenthesis around (-8 + 5x)
-8 + 5x = (2x + -5)

Reorder the terms:
-8 + 5x = (-5 + 2x)

Remove parenthesis around (-5 + 2x)
-8 + 5x = -5 + 2x

Solving
-8 + 5x = -5 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-8 + 5x + -2x = -5 + 2x + -2x

Combine like terms: 5x + -2x = 3x
-8 + 3x = -5 + 2x + -2x

Combine like terms: 2x + -2x = 0
-8 + 3x = -5 + 0
-8 + 3x = -5

Add '8' to each side of the equation.
-8 + 8 + 3x = -5 + 8

Combine like terms: -8 + 8 = 0
0 + 3x = -5 + 8
3x = -5 + 8

Combine like terms: -5 + 8 = 3
3x = 3

Divide each side by '3'.
x = 1

Simplifying
x = 1

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