Solve 0.8div3.75=left(5-xright)div0.75

$$0.8 \div 3.75 = \left( 5-x \right) \div 0.75$$

Solve for x

$$x=4.84$$

Steps for Solving Linear Equation

Expand \frac{0.8}{3.75} by multiplying both numerator and the denominator by 100.

$$\frac{80}{375}=\frac{5-x}{0.75}$$

Reduce the fraction \frac{80}{375} to lowest terms by extracting and canceling out 5.

$$\frac{16}{75}=\frac{5-x}{0.75}$$

Divide each term of 5-x by 0.75 to get \frac{5}{0.75}+\frac{-x}{0.75}.

$$\frac{16}{75}=\frac{5}{0.75}+\frac{-x}{0.75}$$

Expand \frac{5}{0.75} by multiplying both numerator and the denominator by 100.

$$\frac{16}{75}=\frac{500}{75}+\frac{-x}{0.75}$$

Reduce the fraction \frac{500}{75} to lowest terms by extracting and canceling out 25.

$$\frac{16}{75}=\frac{20}{3}+\frac{-x}{0.75}$$

Divide -x by 0.75 to get -\frac{4}{3}x.

$$\frac{16}{75}=\frac{20}{3}-\frac{4}{3}x$$

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

$$\frac{20}{3}-\frac{4}{3}x=\frac{16}{75}$$

Subtract \frac{20}{3} from both sides.

$$-\frac{4}{3}x=\frac{16}{75}-\frac{20}{3}$$

Least common multiple of 75 and 3 is 75. Convert \frac{16}{75} and \frac{20}{3} to fractions with denominator 75.

$$-\frac{4}{3}x=\frac{16}{75}-\frac{500}{75}$$

Since \frac{16}{75} and \frac{500}{75} have the same denominator, subtract them by subtracting their numerators.

$$-\frac{4}{3}x=\frac{16-500}{75}$$

Subtract 500 from 16 to get -484.

$$-\frac{4}{3}x=-\frac{484}{75}$$

Divide both sides by -\frac{4}{3}.

$$x=\frac{-\frac{484}{75}}{-\frac{4}{3}}$$

Express \frac{-\frac{484}{75}}{-\frac{4}{3}} as a single fraction.

$$x=\frac{-484}{75\left(-\frac{4}{3}\right)}$$

Multiply 75 and -\frac{4}{3} to get -100.

$$x=\frac{-484}{-100}$$

Reduce the fraction \frac{-484}{-100} to lowest terms by extracting and canceling out -4.

$$x=\frac{121}{25}$$