5x+8=2x-9

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


Simplifying
5x + 8 = 2x + -9

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

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

Solving
8 + 5x = -9 + 2x

Solving for variable 'x'.

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

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

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

Combine like terms: 2x + -2x = 0
8 + 3x = -9 + 0
8 + 3x = -9

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

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

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

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

Simplifying
x = -5.666666667

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