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

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


Simplifying
(5x + -5) = (3x + -2)

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

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

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

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

Solving
-5 + 5x = -2 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-5 + 5x + -3x = -2 + 3x + -3x

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

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

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

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

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

Divide each side by '2'.
x = 1.5

Simplifying
x = 1.5

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