5x+6=8x-2

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Solution for 5x+6=8x-2 equation:


Simplifying
5x + 6 = 8x + -2

Reorder the terms:
6 + 5x = 8x + -2

Reorder the terms:
6 + 5x = -2 + 8x

Solving
6 + 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.
6 + 5x + -8x = -2 + 8x + -8x

Combine like terms: 5x + -8x = -3x
6 + -3x = -2 + 8x + -8x

Combine like terms: 8x + -8x = 0
6 + -3x = -2 + 0
6 + -3x = -2

Add '-6' to each side of the equation.
6 + -6 + -3x = -2 + -6

Combine like terms: 6 + -6 = 0
0 + -3x = -2 + -6
-3x = -2 + -6

Combine like terms: -2 + -6 = -8
-3x = -8

Divide each side by '-3'.
x = 2.666666667

Simplifying
x = 2.666666667

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