Solve -1/2x+x=16.2v

$$- \frac { 1 } { 2 } x + x = 16.2 v$$

Solve for v

$$v=\frac{5x}{162}$$

Steps for Solving Linear Equation

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

$$\frac{1}{2}x=16.2v$$

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

$$16.2v=\frac{1}{2}x$$

The equation is in standard form.

$$16.2v=\frac{x}{2}$$

Divide both sides of the equation by 16.2, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{16.2v}{16.2}=\frac{x}{2\times 16.2}$$

Dividing by 16.2 undoes the multiplication by 16.2.

$$v=\frac{x}{2\times 16.2}$$

Divide \frac{x}{2} by 16.2 by multiplying \frac{x}{2} by the reciprocal of 16.2.

$$v=\frac{5x}{162}$$

Solve for x

$$x=\frac{162v}{5}$$

Steps for Solving Linear Equation

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

$$\frac{1}{2}x=16.2v$$

The equation is in standard form.

$$\frac{1}{2}x=\frac{81v}{5}$$

Multiply both sides by 2.

$$\frac{\frac{1}{2}x}{\frac{1}{2}}=\frac{81v}{\frac{1}{2}\times 5}$$

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

$$x=\frac{81v}{\frac{1}{2}\times 5}$$

Divide \frac{81v}{5} by \frac{1}{2} by multiplying \frac{81v}{5} by the reciprocal of \frac{1}{2}.

$$x=\frac{162v}{5}$$