# Solve for q 6/5=36/(q+10)

65=36q+10
Rewrite the equation as 36q+10=65.
36q+10=65
Multiply the numerator of the first fraction by the denominator of the second fraction. Set this equal to the product of the denominator of the first fraction and the numerator of the second fraction.
36⋅5=(q+10)⋅6
Solve the equation for q.
Rewrite the equation as (q+10)⋅6=36⋅5.
(q+10)⋅6=36⋅5
Multiply 36 by 5.
(q+10)⋅6=180
Divide each term by 6 and simplify.
Divide each term in (q+10)⋅6=180 by 6.
(q+10)⋅66=1806
Cancel the common factor of 6.
Cancel the common factor.
(q+10)⋅66=1806
Divide q+10 by 1.
q+10=1806
q+10=1806
Divide 180 by 6.
q+10=30
q+10=30
Move all terms not containing q to the right side of the equation.
Subtract 10 from both sides of the equation.
q=30-10
Subtract 10 from 30.
q=20
q=20
q=20
Solve for q 6/5=36/(q+10)

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