Solve 8/5.75=28/x

$$\frac { 8 } { 5.75 } = \frac { 28 } { x }$$

Solve for x

$$x=20.125$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.

$$x\times \frac{8}{5.75}=28$$

Expand \frac{8}{5.75} by multiplying both numerator and the denominator by 100.

$$x\times \frac{800}{575}=28$$

Reduce the fraction \frac{800}{575} to lowest terms by extracting and canceling out 25.

$$x\times \frac{32}{23}=28$$

Multiply both sides by \frac{23}{32}, the reciprocal of \frac{32}{23}.

$$x=28\times \frac{23}{32}$$

Express 28\times \frac{23}{32} as a single fraction.

$$x=\frac{28\times 23}{32}$$

Multiply 28 and 23 to get 644.

$$x=\frac{644}{32}$$

Reduce the fraction \frac{644}{32} to lowest terms by extracting and canceling out 4.

$$x=\frac{161}{8}$$