Solve 6x(2.88%+1)=15000

$$6x(2.88 \% +1)=15000$$

Solve for x

$$x = \frac{1562500}{643} = 2430\frac{10}{643} \approx 2430.0155521$$

Steps for Solving Linear Equation

Expand \frac{2.88}{100} by multiplying both numerator and the denominator by 100.

$$6x\left(\frac{288}{10000}+1\right)=15000$$

Reduce the fraction \frac{288}{10000} to lowest terms by extracting and canceling out 16.

$$6x\left(\frac{18}{625}+1\right)=15000$$

Convert 1 to fraction \frac{625}{625}.

$$6x\left(\frac{18}{625}+\frac{625}{625}\right)=15000$$

Since \frac{18}{625} and \frac{625}{625} have the same denominator, add them by adding their numerators.

$$6x\times \frac{18+625}{625}=15000$$

Add 18 and 625 to get 643.

$$6x\times \frac{643}{625}=15000$$

Express 6\times \frac{643}{625} as a single fraction.

$$\frac{6\times 643}{625}x=15000$$

Multiply 6 and 643 to get 3858.

$$\frac{3858}{625}x=15000$$

Multiply both sides by \frac{625}{3858}, the reciprocal of \frac{3858}{625}.

$$x=15000\times \frac{625}{3858}$$

Express 15000\times \frac{625}{3858} as a single fraction.

$$x=\frac{15000\times 625}{3858}$$

Multiply 15000 and 625 to get 9375000.

$$x=\frac{9375000}{3858}$$

Reduce the fraction \frac{9375000}{3858} to lowest terms by extracting and canceling out 6.

$$x=\frac{1562500}{643}$$