10q-20=7q+13

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Solution for 10q-20=7q+13 equation:


Simplifying
10q + -20 = 7q + 13

Reorder the terms:
-20 + 10q = 7q + 13

Reorder the terms:
-20 + 10q = 13 + 7q

Solving
-20 + 10q = 13 + 7q

Solving for variable 'q'.

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

Add '-7q' to each side of the equation.
-20 + 10q + -7q = 13 + 7q + -7q

Combine like terms: 10q + -7q = 3q
-20 + 3q = 13 + 7q + -7q

Combine like terms: 7q + -7q = 0
-20 + 3q = 13 + 0
-20 + 3q = 13

Add '20' to each side of the equation.
-20 + 20 + 3q = 13 + 20

Combine like terms: -20 + 20 = 0
0 + 3q = 13 + 20
3q = 13 + 20

Combine like terms: 13 + 20 = 33
3q = 33

Divide each side by '3'.
q = 11

Simplifying
q = 11

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