2x+9=5x-8

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Solution for 2x+9=5x-8 equation: 


Simplifying
2x + 9 = 5x + -8

Reorder the terms:
9 + 2x = 5x + -8

Reorder the terms:
9 + 2x = -8 + 5x

Solving
9 + 2x = -8 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
9 + 2x + -5x = -8 + 5x + -5x

Combine like terms: 2x + -5x = -3x
9 + -3x = -8 + 5x + -5x

Combine like terms: 5x + -5x = 0
9 + -3x = -8 + 0
9 + -3x = -8

Add '-9' to each side of the equation.
9 + -9 + -3x = -8 + -9

Combine like terms: 9 + -9 = 0
0 + -3x = -8 + -9
-3x = -8 + -9

Combine like terms: -8 + -9 = -17
-3x = -17

Divide each side by '-3'.
x = 5.666666667

Simplifying
x = 5.666666667

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