13x-5=6x+16

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Solution for 13x-5=6x+16 equation:


Simplifying
13x + -5 = 6x + 16

Reorder the terms:
-5 + 13x = 6x + 16

Reorder the terms:
-5 + 13x = 16 + 6x

Solving
-5 + 13x = 16 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-5 + 13x + -6x = 16 + 6x + -6x

Combine like terms: 13x + -6x = 7x
-5 + 7x = 16 + 6x + -6x

Combine like terms: 6x + -6x = 0
-5 + 7x = 16 + 0
-5 + 7x = 16

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

Combine like terms: -5 + 5 = 0
0 + 7x = 16 + 5
7x = 16 + 5

Combine like terms: 16 + 5 = 21
7x = 21

Divide each side by '7'.
x = 3

Simplifying
x = 3

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