5x+16=9x-32

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Solution for 5x+16=9x-32 equation:


Simplifying
5x + 16 = 9x + -32

Reorder the terms:
16 + 5x = 9x + -32

Reorder the terms:
16 + 5x = -32 + 9x

Solving
16 + 5x = -32 + 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.
16 + 5x + -9x = -32 + 9x + -9x

Combine like terms: 5x + -9x = -4x
16 + -4x = -32 + 9x + -9x

Combine like terms: 9x + -9x = 0
16 + -4x = -32 + 0
16 + -4x = -32

Add '-16' to each side of the equation.
16 + -16 + -4x = -32 + -16

Combine like terms: 16 + -16 = 0
0 + -4x = -32 + -16
-4x = -32 + -16

Combine like terms: -32 + -16 = -48
-4x = -48

Divide each side by '-4'.
x = 12

Simplifying
x = 12

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