6x+5=9x-x-6

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Solution for 6x+5=9x-x-6 equation:


Simplifying
6x + 5 = 9x + -1x + -6

Reorder the terms:
5 + 6x = 9x + -1x + -6

Reorder the terms:
5 + 6x = -6 + 9x + -1x

Combine like terms: 9x + -1x = 8x
5 + 6x = -6 + 8x

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

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

Combine like terms: 8x + -8x = 0
5 + -2x = -6 + 0
5 + -2x = -6

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

Combine like terms: 5 + -5 = 0
0 + -2x = -6 + -5
-2x = -6 + -5

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

Divide each side by '-2'.
x = 5.5

Simplifying
x = 5.5

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