5x+9=6x-5

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


Simplifying
5x + 9 = 6x + -5

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

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

Solving
9 + 5x = -5 + 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.
9 + 5x + -6x = -5 + 6x + -6x

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

Combine like terms: 6x + -6x = 0
9 + -1x = -5 + 0
9 + -1x = -5

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

Combine like terms: 9 + -9 = 0
0 + -1x = -5 + -9
-1x = -5 + -9

Combine like terms: -5 + -9 = -14
-1x = -14

Divide each side by '-1'.
x = 14

Simplifying
x = 14

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