Solve for x 5=5/(ax)+1

$5 = \frac{5}{a x} + 1$

Rewrite the equation as $\frac{5}{a x} + 1 = 5$ .

$\frac{5}{a x} + 1 = 5$

Move all terms not containing $x$ to the right side of the equation.

Subtract $1$ from both sides of the equation.

$\frac{5}{a x} = 5 - 1$

Subtract $1$ from $5$ .

$\frac{5}{a x} = 4$

Find the LCD of the terms in the equation.

Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.

$a x, 1$

The LCM of one and any expression is the expression.

$a x$

Multiply each term in $\frac{5}{a x} = 4$ by $a x$ to eliminate the fractions.

Multiply each term in $\frac{5}{a x} = 4$ by $a x$ .

$\frac{5}{a x} (a x) = 4 (a x)$

Simplify the left side.

Cancel the common factor of $a x$ .

Cancel the common factor.

$\frac{5}{a x} (a x) = 4 (a x)$

Rewrite the expression.

$5 = 4 (a x)$

Simplify the right side.

Remove parentheses.

$5 = 4 a x$

Solve the equation.

Rewrite the equation as $4 a x = 5$ .

$4 a x = 5$

Divide each term in $4 a x = 5$ by $4 a$ and simplify.

Divide each term in $4 a x = 5$ by $4 a$ .

$\frac{4 a x}{4 a} = \frac{5}{4 a}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 a x}{4 a} = \frac{5}{4 a}$

Rewrite the expression.

$\frac{a x}{a} = \frac{5}{4 a}$

Cancel the common factor of $a$ .

Cancel the common factor.

$\frac{a x}{a} = \frac{5}{4 a}$

Divide $x$ by $1$ .

$x = \frac{5}{4 a}$