Solve for x 8/(ax)-5=-3

$\frac{8}{a x} - 5 = - 3$

Step 1

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

Add $5$ to both sides of the equation.

$\frac{8}{a x} = - 3 + 5$

Add $- 3$ and $5$ .

$\frac{8}{a x} = 2$

Step 2

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.

$a x$

Step 3

Multiply each term in $\frac{8}{a x} = 2$ by $a x$ to eliminate the fractions.

Multiply each term in $\frac{8}{a x} = 2$ by $a x$ .

$\frac{8}{a x} (a x) = 2 (a x)$

Simplify the left side.

Cancel the common factor of $a x$ .

Cancel the common factor.

$\frac{8}{a x} (a x) = 2 (a x)$

Rewrite the expression.

$8 = 2 (a x)$

Simplify the right side.

Remove parentheses.

$8 = 2 a x$

Step 4

Solve the equation.

Rewrite the equation as $2 a x = 8$ .

$2 a x = 8$

Divide each term in $2 a x = 8$ by $2 a$ and simplify.

Divide each term in $2 a x = 8$ by $2 a$ .

$\frac{2 a x}{2 a} = \frac{8}{2 a}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 a x}{2 a} = \frac{8}{2 a}$

Rewrite the expression.

$\frac{a x}{a} = \frac{8}{2 a}$

Cancel the common factor of $a$ .

Cancel the common factor.

$\frac{a x}{a} = \frac{8}{2 a}$

Divide $x$ by $1$ .

$x = \frac{8}{2 a}$

Simplify the right side.

Cancel the common factor of $8$ and $2$ .

Factor $2$ out of $8$ .

$x = \frac{2 \cdot 4}{2 a}$

Cancel the common factors.

Factor $2$ out of $2 a$ .

$x = \frac{2 \cdot 4}{2 (a)}$

Cancel the common factor.

$x = \frac{2 \cdot 4}{2 a}$

Rewrite the expression.

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

Solve for x 8/(ax)-5=-3

Related Questions

Support LCMGCF.com by disabling your adblocker.