# Solve for x 5/x=20/8

5x=208
Cancel the common factor of 20 and 8.
Factor 4 out of 20.
5x=4(5)8
Cancel the common factors.
Factor 4 out of 8.
5x=4⋅54⋅2
Cancel the common factor.
5x=4⋅54⋅2
Rewrite the expression.
5x=52
5x=52
5x=52
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.
5⋅2=x⋅5
Solve the equation for x.
Rewrite the equation as x⋅5=5⋅2.
x⋅5=5⋅2
Multiply 5 by 2.
x⋅5=10
Divide each term by 5 and simplify.
Divide each term in x⋅5=10 by 5.
x⋅55=105
Cancel the common factor of 5.
Cancel the common factor.
x⋅55=105
Divide x by 1.
x=105
x=105
Divide 10 by 5.
x=2
x=2
x=2
Solve for x 5/x=20/8