Solve x=A/A+1+3/A+1

$$x = \frac { A } { A + 1 } + \frac { 3 } { A + 1 }$$

Solve for A

$$A=-\frac{x-3}{x-1}$$

$$x\neq 1$$

Steps for Solving Linear Equation

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

$$x\left(A+1\right)=A+3$$

Use the distributive property to multiply x by A+1.

$$xA+x=A+3$$

Subtract A from both sides.

$$xA+x-A=3$$

Subtract x from both sides.

$$xA-A=3-x$$

Combine all terms containing A.

$$\left(x-1\right)A=3-x$$

Divide both sides by x-1.

$$\frac{\left(x-1\right)A}{x-1}=\frac{3-x}{x-1}$$

Dividing by x-1 undoes the multiplication by x-1.

$$A=\frac{3-x}{x-1}$$

Variable A cannot be equal to -1.

$$A=\frac{3-x}{x-1}\text{, }A\neq -1$$

Solve for x

$$x=\frac{A+3}{A+1}$$

$$A\neq -1$$