(5x-8)=(3x+2)

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Solution for (5x-8)=(3x+2) equation:


Simplifying
(5x + -8) = (3x + 2)

Reorder the terms:
(-8 + 5x) = (3x + 2)

Remove parenthesis around (-8 + 5x)
-8 + 5x = (3x + 2)

Reorder the terms:
-8 + 5x = (2 + 3x)

Remove parenthesis around (2 + 3x)
-8 + 5x = 2 + 3x

Solving
-8 + 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.
-8 + 5x + -3x = 2 + 3x + -3x

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

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

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

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

Combine like terms: 2 + 8 = 10
2x = 10

Divide each side by '2'.
x = 5

Simplifying
x = 5

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