Solve 27/5=x-32/9

$$\frac{ 27 }{ 5 } = \frac{ x-32 }{ 9 }$$

Solve for x

$$x = \frac{403}{5} = 80\frac{3}{5} = 80.6$$

Steps for Solving Linear Equation

Multiply both sides by 9.

$$\frac{27}{5}\times 9=x-32$$

Express \frac{27}{5}\times 9 as a single fraction.

$$\frac{27\times 9}{5}=x-32$$

Multiply 27 and 9 to get 243.

$$\frac{243}{5}=x-32$$

Swap sides so that all variable terms are on the left hand side.

$$x-32=\frac{243}{5}$$

Add 32 to both sides.

$$x=\frac{243}{5}+32$$

Convert 32 to fraction \frac{160}{5}.

$$x=\frac{243}{5}+\frac{160}{5}$$

Since \frac{243}{5} and \frac{160}{5} have the same denominator, add them by adding their numerators.

$$x=\frac{243+160}{5}$$

Add 243 and 160 to get 403.

$$x=\frac{403}{5}$$