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

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


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

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

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

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

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

Combine like terms: 8x + -2x = 6x
-2 + 6x = -8 + 2x + -2x

Combine like terms: 2x + -2x = 0
-2 + 6x = -8 + 0
-2 + 6x = -8

Add '2' to each side of the equation.
-2 + 2 + 6x = -8 + 2

Combine like terms: -2 + 2 = 0
0 + 6x = -8 + 2
6x = -8 + 2

Combine like terms: -8 + 2 = -6
6x = -6

Divide each side by '6'.
x = -1

Simplifying
x = -1

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