5x-14=9x+16

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Solution for 5x-14=9x+16 equation:


Simplifying
5x + -14 = 9x + 16

Reorder the terms:
-14 + 5x = 9x + 16

Reorder the terms:
-14 + 5x = 16 + 9x

Solving
-14 + 5x = 16 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-14 + 5x + -9x = 16 + 9x + -9x

Combine like terms: 5x + -9x = -4x
-14 + -4x = 16 + 9x + -9x

Combine like terms: 9x + -9x = 0
-14 + -4x = 16 + 0
-14 + -4x = 16

Add '14' to each side of the equation.
-14 + 14 + -4x = 16 + 14

Combine like terms: -14 + 14 = 0
0 + -4x = 16 + 14
-4x = 16 + 14

Combine like terms: 16 + 14 = 30
-4x = 30

Divide each side by '-4'.
x = -7.5

Simplifying
x = -7.5

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