Solve x:13+x=B

$$x : 13 + x = B$$

Solve for B

$$B=\frac{14x}{13}$$

Solution Steps

Combine \frac{x}{13} and x to get \frac{14}{13}x.

$$\frac{14}{13}x=B$$

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

$$B=\frac{14}{13}x$$

Solve for x

$$x=\frac{13B}{14}$$

Steps for Solving Linear Equation

Combine \frac{x}{13} and x to get \frac{14}{13}x.

$$\frac{14}{13}x=B$$

Divide both sides of the equation by \frac{14}{13}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{14}{13}x}{\frac{14}{13}}=\frac{B}{\frac{14}{13}}$$

Dividing by \frac{14}{13} undoes the multiplication by \frac{14}{13}.

$$x=\frac{B}{\frac{14}{13}}$$

Divide B by \frac{14}{13} by multiplying B by the reciprocal of \frac{14}{13}.

$$x=\frac{13B}{14}$$