Solve 31/6=2x+b

$$\frac { 31 } { 6 } = 2 x + b$$

Solve for b

$$b=\frac{31}{6}-2x$$

Solution Steps

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

$$2x+b=\frac{31}{6}$$

Subtract 2x from both sides.

$$b=\frac{31}{6}-2x$$

Solve for x

$$x=-\frac{b}{2}+\frac{31}{12}$$

Steps for Solving Linear Equation

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

$$2x+b=\frac{31}{6}$$

Subtract b from both sides.

$$2x=\frac{31}{6}-b$$

Divide both sides by 2.

$$\frac{2x}{2}=\frac{\frac{31}{6}-b}{2}$$

Dividing by 2 undoes the multiplication by 2.

$$x=\frac{\frac{31}{6}-b}{2}$$

Divide \frac{31}{6}-b by 2.

$$x=-\frac{b}{2}+\frac{31}{12}$$