Solve a/x+2=20

$$\frac { a } { x } + 2 = 20$$

Solve for a

$$a=18x$$

$$x\neq 0$$

Solution Steps

Multiply both sides of the equation by x.

$$a+x\times 2=20x$$

Subtract x\times 2 from both sides.

$$a=20x-x\times 2$$

Combine 20x and -x\times 2 to get 18x.

$$a=18x$$

Solve for x

$$x=\frac{a}{18}$$

$$a\neq 0$$

Steps for Solving Linear Equation

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

$$a+x\times 2=20x$$

Subtract 20x from both sides.

$$a+x\times 2-20x=0$$

Combine x\times 2 and -20x to get -18x.

$$a-18x=0$$

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

$$-18x=-a$$

Divide both sides by -18.

$$\frac{-18x}{-18}=-\frac{a}{-18}$$

Dividing by -18 undoes the multiplication by -18.

$$x=-\frac{a}{-18}$$

Divide -a by -18.

$$x=\frac{a}{18}$$

Variable x cannot be equal to 0.

$$x=\frac{a}{18}\text{, }x\neq 0$$