Solve 0.72-x/0.28=3/7

$$\frac { 0.72 - x } { 0.28 } = \frac { 3 } { 7 }$$

Solve for x

$$x=0.6$$

Steps for Solving Linear Equation

Multiply both sides by 0.28.

$$0.72-x=\frac{3}{7}\times 0.28$$

Convert decimal number 0.28 to fraction \frac{28}{100}. Reduce the fraction \frac{28}{100} to lowest terms by extracting and canceling out 4.

$$0.72-x=\frac{3}{7}\times \frac{7}{25}$$

Multiply \frac{3}{7} times \frac{7}{25} by multiplying numerator times numerator and denominator times denominator.

$$0.72-x=\frac{3\times 7}{7\times 25}$$

Cancel out 7 in both numerator and denominator.

$$0.72-x=\frac{3}{25}$$

Subtract 0.72 from both sides.

$$-x=\frac{3}{25}-0.72$$

Convert decimal number 0.72 to fraction \frac{72}{100}. Reduce the fraction \frac{72}{100} to lowest terms by extracting and canceling out 4.

$$-x=\frac{3}{25}-\frac{18}{25}$$

Since \frac{3}{25} and \frac{18}{25} have the same denominator, subtract them by subtracting their numerators.

$$-x=\frac{3-18}{25}$$

Subtract 18 from 3 to get -15.

$$-x=\frac{-15}{25}$$

Reduce the fraction \frac{-15}{25} to lowest terms by extracting and canceling out 5.

$$-x=-\frac{3}{5}$$

Multiply both sides by -1.

$$x=\frac{3}{5}$$