Solve (148+x)*5%=54.76

$$(148+x) \times 5 \% =54.76$$

Solve for x

$$x=947.2$$

Steps for Solving Linear Equation

Reduce the fraction \frac{5}{100} to lowest terms by extracting and canceling out 5.

$$\left(148+x\right)\times \frac{1}{20}=54.76$$

Use the distributive property to multiply 148+x by \frac{1}{20}.

$$148\times \frac{1}{20}+x\times \frac{1}{20}=54.76$$

Multiply 148 and \frac{1}{20} to get \frac{148}{20}.

$$\frac{148}{20}+x\times \frac{1}{20}=54.76$$

Reduce the fraction \frac{148}{20} to lowest terms by extracting and canceling out 4.

$$\frac{37}{5}+x\times \frac{1}{20}=54.76$$

Subtract \frac{37}{5} from both sides.

$$x\times \frac{1}{20}=54.76-\frac{37}{5}$$

Convert decimal number 54.76 to fraction \frac{5476}{100}. Reduce the fraction \frac{5476}{100} to lowest terms by extracting and canceling out 4.

$$x\times \frac{1}{20}=\frac{1369}{25}-\frac{37}{5}$$

Least common multiple of 25 and 5 is 25. Convert \frac{1369}{25} and \frac{37}{5} to fractions with denominator 25.

$$x\times \frac{1}{20}=\frac{1369}{25}-\frac{185}{25}$$

Since \frac{1369}{25} and \frac{185}{25} have the same denominator, subtract them by subtracting their numerators.

$$x\times \frac{1}{20}=\frac{1369-185}{25}$$

Subtract 185 from 1369 to get 1184.

$$x\times \frac{1}{20}=\frac{1184}{25}$$

Multiply both sides by 20, the reciprocal of \frac{1}{20}.

$$x=\frac{1184}{25}\times 20$$

Express \frac{1184}{25}\times 20 as a single fraction.

$$x=\frac{1184\times 20}{25}$$

Multiply 1184 and 20 to get 23680.

$$x=\frac{23680}{25}$$

Reduce the fraction \frac{23680}{25} to lowest terms by extracting and canceling out 5.

$$x=\frac{4736}{5}$$