Solve 12875+46x-380left(34+x/10right)=363

$$12875+46x-380 \left( 34+ \frac{ x }{ 10 } \right) = 363$$

Solve for x

$$x=51$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 10.

$$10\left(12875+46x\right)-3800\left(34+\frac{x}{10}\right)=3630$$

Use the distributive property to multiply 10 by 12875+46x.

$$128750+460x-3800\left(34+\frac{x}{10}\right)=3630$$

Multiply both sides of the equation by 10.

$$10\left(128750+460x\right)-38000\left(34+\frac{x}{10}\right)=36300$$

Multiply both sides of the equation by 10.

$$100\left(128750+460x\right)-10\times 38000\left(34+\frac{x}{10}\right)=363000$$

Use the distributive property to multiply 100 by 128750+460x.

$$12875000+46000x-10\times 38000\left(34+\frac{x}{10}\right)=363000$$

Multiply -10 and 38000 to get -380000.

$$12875000+46000x-380000\left(34+\frac{x}{10}\right)=363000$$

Use the distributive property to multiply -380000 by 34+\frac{x}{10}.

$$12875000+46000x-12920000-380000\times \frac{x}{10}=363000$$

Cancel out 10, the greatest common factor in 380000 and 10.

$$12875000+46000x-12920000-38000x=363000$$

Subtract 12920000 from 12875000 to get -45000.

$$-45000+46000x-38000x=363000$$

Combine 46000x and -38000x to get 8000x.

$$-45000+8000x=363000$$

Add 45000 to both sides.

$$8000x=363000+45000$$

Add 363000 and 45000 to get 408000.

$$8000x=408000$$

Divide both sides by 8000.

$$x=\frac{408000}{8000}$$

Divide 408000 by 8000 to get 51.

$$x=51$$