4q-5=q+13

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Solution for 4q-5=q+13 equation:


Simplifying
4q + -5 = q + 13

Reorder the terms:
-5 + 4q = q + 13

Reorder the terms:
-5 + 4q = 13 + q

Solving
-5 + 4q = 13 + q

Solving for variable 'q'.

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

Add '-1q' to each side of the equation.
-5 + 4q + -1q = 13 + q + -1q

Combine like terms: 4q + -1q = 3q
-5 + 3q = 13 + q + -1q

Combine like terms: q + -1q = 0
-5 + 3q = 13 + 0
-5 + 3q = 13

Add '5' to each side of the equation.
-5 + 5 + 3q = 13 + 5

Combine like terms: -5 + 5 = 0
0 + 3q = 13 + 5
3q = 13 + 5

Combine like terms: 13 + 5 = 18
3q = 18

Divide each side by '3'.
q = 6

Simplifying
q = 6

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