Solve -1/2x+x=162v

$$- \frac { 1 } { 2 } x + x = 162 v$$

Solve for v

$$v=\frac{x}{324}$$

Steps for Solving Linear Equation

Combine -\frac{1}{2}x and x to get \frac{1}{2}x.

$$\frac{1}{2}x=162v$$

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

$$162v=\frac{1}{2}x$$

The equation is in standard form.

$$162v=\frac{x}{2}$$

Divide both sides by 162.

$$\frac{162v}{162}=\frac{x}{2\times 162}$$

Dividing by 162 undoes the multiplication by 162.

$$v=\frac{x}{2\times 162}$$

Divide \frac{x}{2} by 162.

$$v=\frac{x}{324}$$

Solve for x

$$x=324v$$

Steps for Solving Linear Equation

Combine -\frac{1}{2}x and x to get \frac{1}{2}x.

$$\frac{1}{2}x=162v$$

Multiply both sides by 2.

$$\frac{\frac{1}{2}x}{\frac{1}{2}}=\frac{162v}{\frac{1}{2}}$$

Dividing by \frac{1}{2} undoes the multiplication by \frac{1}{2}.

$$x=\frac{162v}{\frac{1}{2}}$$

Divide 162v by \frac{1}{2} by multiplying 162v by the reciprocal of \frac{1}{2}.

$$x=324v$$