Solve 8/28(100V-x/5)=x

$$\frac { 8 } { 28 } ( 100 V - \frac { x } { 5 } ) = x$$

Solve for V

$$V=\frac{37x}{1000}$$

Steps for Solving Linear Equation

Reduce the fraction \frac{8}{28} to lowest terms by extracting and canceling out 4.

$$\frac{2}{7}\left(100V-\frac{x}{5}\right)=x$$

Use the distributive property to multiply \frac{2}{7} by 100V-\frac{x}{5}.

$$\frac{200}{7}V+\frac{2}{7}\left(-\frac{x}{5}\right)=x$$

Multiply \frac{2}{7} times -\frac{x}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{200}{7}V+\frac{-2x}{7\times 5}=x$$

Multiply 7 and 5 to get 35.

$$\frac{200}{7}V+\frac{-2x}{35}=x$$

Subtract \frac{-2x}{35} from both sides.

$$\frac{200}{7}V=x-\frac{-2x}{35}$$

Multiply both sides of the equation by 35, the least common multiple of 7,35.

$$1000V=35x+2x$$

Combine 35x and 2x to get 37x.

$$1000V=37x$$

Divide both sides by 1000.

$$\frac{1000V}{1000}=\frac{37x}{1000}$$

Dividing by 1000 undoes the multiplication by 1000.

$$V=\frac{37x}{1000}$$

Solve for x

$$x=\frac{1000V}{37}$$

Steps for Solving Linear Equation

Reduce the fraction \frac{8}{28} to lowest terms by extracting and canceling out 4.

$$\frac{2}{7}\left(100V-\frac{x}{5}\right)=x$$

Use the distributive property to multiply \frac{2}{7} by 100V-\frac{x}{5}.

$$\frac{200}{7}V+\frac{2}{7}\left(-\frac{x}{5}\right)=x$$

Multiply \frac{2}{7} times -\frac{x}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{200}{7}V+\frac{-2x}{7\times 5}=x$$

Multiply 7 and 5 to get 35.

$$\frac{200}{7}V+\frac{-2x}{35}=x$$

Subtract x from both sides.

$$\frac{200}{7}V+\frac{-2x}{35}-x=0$$

Subtract \frac{200}{7}V from both sides. Anything subtracted from zero gives its negation.

$$\frac{-2x}{35}-x=-\frac{200}{7}V$$

Multiply both sides of the equation by 35, the least common multiple of 35,7.

$$-2x-35x=-1000V$$

Combine -2x and -35x to get -37x.

$$-37x=-1000V$$

Divide both sides by -37.

$$\frac{-37x}{-37}=-\frac{1000V}{-37}$$

Dividing by -37 undoes the multiplication by -37.

$$x=-\frac{1000V}{-37}$$

Divide -1000V by -37.

$$x=\frac{1000V}{37}$$