9x-2=5x+16

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Solution for 9x-2=5x+16 equation:


Simplifying
9x + -2 = 5x + 16

Reorder the terms:
-2 + 9x = 5x + 16

Reorder the terms:
-2 + 9x = 16 + 5x

Solving
-2 + 9x = 16 + 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.
-2 + 9x + -5x = 16 + 5x + -5x

Combine like terms: 9x + -5x = 4x
-2 + 4x = 16 + 5x + -5x

Combine like terms: 5x + -5x = 0
-2 + 4x = 16 + 0
-2 + 4x = 16

Add '2' to each side of the equation.
-2 + 2 + 4x = 16 + 2

Combine like terms: -2 + 2 = 0
0 + 4x = 16 + 2
4x = 16 + 2

Combine like terms: 16 + 2 = 18
4x = 18

Divide each side by '4'.
x = 4.5

Simplifying
x = 4.5

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