5x+9=14x-9

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Solution for 5x+9=14x-9 equation:


Simplifying
5x + 9 = 14x + -9

Reorder the terms:
9 + 5x = 14x + -9

Reorder the terms:
9 + 5x = -9 + 14x

Solving
9 + 5x = -9 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
9 + 5x + -14x = -9 + 14x + -14x

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

Combine like terms: 14x + -14x = 0
9 + -9x = -9 + 0
9 + -9x = -9

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

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

Combine like terms: -9 + -9 = -18
-9x = -18

Divide each side by '-9'.
x = 2

Simplifying
x = 2

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