5x-2=3x-8

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Solution for 5x-2=3x-8 equation:


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

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

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

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

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

Combine like terms: 3x + -3x = 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 = -6
2x = -6

Divide each side by '2'.
x = -3

Simplifying
x = -3

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