5x+6=2x-8

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


Simplifying
5x + 6 = 2x + -8

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

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

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

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

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

Add '-6' to each side of the equation.
6 + -6 + 3x = -8 + -6

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

Combine like terms: -8 + -6 = -14
3x = -14

Divide each side by '3'.
x = -4.666666667

Simplifying
x = -4.666666667

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