5x+2=8x-6

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


Simplifying
5x + 2 = 8x + -6

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

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

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

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

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

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

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

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

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

Simplifying
x = 2.666666667

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