Solve 75=x+x*2*1/10

$$75 = x+x \times 2 \times \frac{ 1 }{ 10 }$$

Solve for x

$$x = \frac{125}{2} = 62\frac{1}{2} = 62.5$$

Steps for Solving Linear Equation

Multiply 2 and \frac{1}{10} to get \frac{2}{10}.

$$75=x+x\times \frac{2}{10}$$

Reduce the fraction \frac{2}{10} to lowest terms by extracting and canceling out 2.

$$75=x+x\times \frac{1}{5}$$

Combine x and x\times \frac{1}{5} to get \frac{6}{5}x.

$$75=\frac{6}{5}x$$

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

$$\frac{6}{5}x=75$$

Multiply both sides by \frac{5}{6}, the reciprocal of \frac{6}{5}.

$$x=75\times \frac{5}{6}$$

Express 75\times \frac{5}{6} as a single fraction.

$$x=\frac{75\times 5}{6}$$

Multiply 75 and 5 to get 375.

$$x=\frac{375}{6}$$

Reduce the fraction \frac{375}{6} to lowest terms by extracting and canceling out 3.

$$x=\frac{125}{2}$$