(5x-2)=8x+2

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


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

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

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

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

Solving
-2 + 5x = 2 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-2 + 5x + -8x = 2 + 8x + -8x

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

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

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

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

Combine like terms: 2 + 2 = 4
-3x = 4

Divide each side by '-3'.
x = -1.333333333

Simplifying
x = -1.333333333

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