5x-9=-x+8

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Solution for 5x-9=-x+8 equation:


Simplifying
5x + -9 = -1x + 8

Reorder the terms:
-9 + 5x = -1x + 8

Reorder the terms:
-9 + 5x = 8 + -1x

Solving
-9 + 5x = 8 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-9 + 5x + x = 8 + -1x + x

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

Combine like terms: -1x + x = 0
-9 + 6x = 8 + 0
-9 + 6x = 8

Add '9' to each side of the equation.
-9 + 9 + 6x = 8 + 9

Combine like terms: -9 + 9 = 0
0 + 6x = 8 + 9
6x = 8 + 9

Combine like terms: 8 + 9 = 17
6x = 17

Divide each side by '6'.
x = 2.833333333

Simplifying
x = 2.833333333

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