Solve u/c+1=2

$$\frac { u } { c + 1 } = 2$$

Solve for c

$$c=\frac{u-2}{2}$$

$$u\neq 0$$

Steps for Solving Linear Equation

Variable c cannot be equal to -1 since division by zero is not defined. Multiply both sides of the equation by c+1.

$$u=2\left(c+1\right)$$

Use the distributive property to multiply 2 by c+1.

$$u=2c+2$$

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

$$2c+2=u$$

Subtract 2 from both sides.

$$2c=u-2$$

Divide both sides by 2.

$$\frac{2c}{2}=\frac{u-2}{2}$$

Dividing by 2 undoes the multiplication by 2.

$$c=\frac{u-2}{2}$$

Divide u-2 by 2.

$$c=\frac{u}{2}-1$$

Variable c cannot be equal to -1.

$$c=\frac{u}{2}-1\text{, }c\neq -1$$

Solve for u

$$u=2\left(c+1\right)$$

$$c\neq -1$$

Solution Steps

Multiply both sides of the equation by c+1.

$$u=2\left(c+1\right)$$

Use the distributive property to multiply 2 by c+1.

$$u=2c+2$$