55z+7=18z

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⋅(8z)=(5z+7)⋅1

Multiply 8 by 5.

40z=(5z+7)⋅1

Multiply 5z+7 by 1.

40z=5z+7

Move all terms containing z to the left side of the equation.

Subtract 5z from both sides of the equation.

40z-5z=7

Subtract 5z from 40z.

35z=7

35z=7

Divide each term by 35 and simplify.

Divide each term in 35z=7 by 35.

35z35=735

Cancel the common factor of 35.

Cancel the common factor.

35z35=735

Divide z by 1.

z=735

z=735

Cancel the common factor of 7 and 35.

Factor 7 out of 7.

z=7(1)35

Cancel the common factors.

Factor 7 out of 35.

z=7⋅17⋅5

Cancel the common factor.

z=7⋅17⋅5

Rewrite the expression.

z=15

z=15

z=15

z=15

z=15

The result can be shown in multiple forms.

Exact Form:

z=15

Decimal Form:

z=0.2

Solve for z 5/(5z+7)=1/(8z)