Solve 2a+x/a=b

$$\frac { 2 a + x } { a } = b$$

Solve for a

$$\left\{\begin{matrix}a=-\frac{x}{2-b}\text{, }&x\neq 0\text{ and }b\neq 2\\a\neq 0\text{, }&x=0\text{ and }b=2\end{matrix}\right.$$

Steps for Solving Linear Equation

Variable a cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by a.

$$2a+x=ba$$

Subtract ba from both sides.

$$2a+x-ba=0$$

Subtract x from both sides. Anything subtracted from zero gives its negation.

$$2a-ba=-x$$

Combine all terms containing a.

$$\left(2-b\right)a=-x$$

Divide both sides by 2-b.

$$\frac{\left(2-b\right)a}{2-b}=-\frac{x}{2-b}$$

Dividing by 2-b undoes the multiplication by 2-b.

$$a=-\frac{x}{2-b}$$

Variable a cannot be equal to 0.

$$a=-\frac{x}{2-b}\text{, }a\neq 0$$

Solve for b

$$b=\frac{x}{a}+2$$

$$a\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by a.

$$2a+x=ba$$

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

$$ba=2a+x$$

The equation is in standard form.

$$ab=x+2a$$

Divide both sides by a.

$$\frac{ab}{a}=\frac{x+2a}{a}$$

Dividing by a undoes the multiplication by a.

$$b=\frac{x+2a}{a}$$

Divide 2a+x by a.

$$b=\frac{x}{a}+2$$