Solve 5020.00=4000.00(1+x(3))

$$5020.00=4000.00(1+x(3))$$

Solve for x

$$x=\frac{17}{200}=0.085$$

Steps for Solving Linear Equation

Divide both sides by 4000.

$$\frac{5020}{4000}=1+x\times 3$$

Reduce the fraction \frac{5020}{4000} to lowest terms by extracting and canceling out 20.

$$\frac{251}{200}=1+x\times 3$$

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

$$1+x\times 3=\frac{251}{200}$$

Subtract 1 from both sides.

$$x\times 3=\frac{251}{200}-1$$

Convert 1 to fraction \frac{200}{200}.

$$x\times 3=\frac{251}{200}-\frac{200}{200}$$

Since \frac{251}{200} and \frac{200}{200} have the same denominator, subtract them by subtracting their numerators.

$$x\times 3=\frac{251-200}{200}$$

Subtract 200 from 251 to get 51.

$$x\times 3=\frac{51}{200}$$

Divide both sides by 3.

$$x=\frac{\frac{51}{200}}{3}$$

Express \frac{\frac{51}{200}}{3} as a single fraction.

$$x=\frac{51}{200\times 3}$$

Multiply 200 and 3 to get 600.

$$x=\frac{51}{600}$$

Reduce the fraction \frac{51}{600} to lowest terms by extracting and canceling out 3.

$$x=\frac{17}{200}$$