5x-16=7x+9

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Solution for 5x-16=7x+9 equation:


Simplifying
5x + -16 = 7x + 9

Reorder the terms:
-16 + 5x = 7x + 9

Reorder the terms:
-16 + 5x = 9 + 7x

Solving
-16 + 5x = 9 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-16 + 5x + -7x = 9 + 7x + -7x

Combine like terms: 5x + -7x = -2x
-16 + -2x = 9 + 7x + -7x

Combine like terms: 7x + -7x = 0
-16 + -2x = 9 + 0
-16 + -2x = 9

Add '16' to each side of the equation.
-16 + 16 + -2x = 9 + 16

Combine like terms: -16 + 16 = 0
0 + -2x = 9 + 16
-2x = 9 + 16

Combine like terms: 9 + 16 = 25
-2x = 25

Divide each side by '-2'.
x = -12.5

Simplifying
x = -12.5

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