Solve x+12.5div100*x=6750

$$x+12.5 \div 100 \times x=6750$$

Solve for x

$$x=6000$$

Steps for Solving Linear Equation

Expand \frac{12.5}{100} by multiplying both numerator and the denominator by 10.

$$x+\frac{125}{1000}x=6750$$

Reduce the fraction \frac{125}{1000} to lowest terms by extracting and canceling out 125.

$$x+\frac{1}{8}x=6750$$

Combine x and \frac{1}{8}x to get \frac{9}{8}x.

$$\frac{9}{8}x=6750$$

Multiply both sides by \frac{8}{9}, the reciprocal of \frac{9}{8}.

$$x=6750\times \frac{8}{9}$$

Express 6750\times \frac{8}{9} as a single fraction.

$$x=\frac{6750\times 8}{9}$$

Multiply 6750 and 8 to get 54000.

$$x=\frac{54000}{9}$$

Divide 54000 by 9 to get 6000.

$$x=6000$$