5x-10=9x+16

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Solution for 5x-10=9x+16 equation:


Simplifying
5x + -10 = 9x + 16

Reorder the terms:
-10 + 5x = 9x + 16

Reorder the terms:
-10 + 5x = 16 + 9x

Solving
-10 + 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.
-10 + 5x + -9x = 16 + 9x + -9x

Combine like terms: 5x + -9x = -4x
-10 + -4x = 16 + 9x + -9x

Combine like terms: 9x + -9x = 0
-10 + -4x = 16 + 0
-10 + -4x = 16

Add '10' to each side of the equation.
-10 + 10 + -4x = 16 + 10

Combine like terms: -10 + 10 = 0
0 + -4x = 16 + 10
-4x = 16 + 10

Combine like terms: 16 + 10 = 26
-4x = 26

Divide each side by '-4'.
x = -6.5

Simplifying
x = -6.5

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