(3x-2)=5x+8

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


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

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

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

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

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

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

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

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

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

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

Divide each side by '-2'.
x = -5

Simplifying
x = -5

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