6x+5.6666667=8x-4.6

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Solution for 6x+5.6666667=8x-4.6 equation: 


Simplifying
6x + 5.6666667 = 8x + -4.6

Reorder the terms:
5.6666667 + 6x = 8x + -4.6

Reorder the terms:
5.6666667 + 6x = -4.6 + 8x

Solving
5.6666667 + 6x = -4.6 + 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.
5.6666667 + 6x + -8x = -4.6 + 8x + -8x

Combine like terms: 6x + -8x = -2x
5.6666667 + -2x = -4.6 + 8x + -8x

Combine like terms: 8x + -8x = 0
5.6666667 + -2x = -4.6 + 0
5.6666667 + -2x = -4.6

Add '-5.6666667' to each side of the equation.
5.6666667 + -5.6666667 + -2x = -4.6 + -5.6666667

Combine like terms: 5.6666667 + -5.6666667 = 0.0000000
0.0000000 + -2x = -4.6 + -5.6666667
-2x = -4.6 + -5.6666667

Combine like terms: -4.6 + -5.6666667 = -10.2666667
-2x = -10.2666667

Divide each side by '-2'.
x = 5.13333335

Simplifying
x = 5.13333335

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