-5x+8=6x-2

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


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

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

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

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

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
8 + -5x + -6x = -2 + 6x + -6x

Combine like terms: -5x + -6x = -11x
8 + -11x = -2 + 6x + -6x

Combine like terms: 6x + -6x = 0
8 + -11x = -2 + 0
8 + -11x = -2

Add '-8' to each side of the equation.
8 + -8 + -11x = -2 + -8

Combine like terms: 8 + -8 = 0
0 + -11x = -2 + -8
-11x = -2 + -8

Combine like terms: -2 + -8 = -10
-11x = -10

Divide each side by '-11'.
x = 0.9090909091

Simplifying
x = 0.9090909091

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