Solve for x 9/(3x)=-6/2

$\frac{9}{3 x} = \frac{- 6}{2}$

Step 1

Factor each term.

Reduce the expression $\frac{9}{3 x}$ by cancelling the common factors.

Factor $3$ out of $9$ .

$\frac{3 \cdot 3}{3 x} = \frac{- 6}{2}$

Factor $3$ out of $3 x$ .

$\frac{3 \cdot 3}{3 (x)} = \frac{- 6}{2}$

Cancel the common factor.

$\frac{3 \cdot 3}{3 x} = \frac{- 6}{2}$

Rewrite the expression.

$\frac{3}{x} = \frac{- 6}{2}$

Divide $- 6$ by $2$ .

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

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.

$x, 1$

The LCM of one and any expression is the expression.

$x$

Step 3

Multiply each term in $\frac{3}{x} = - 3$ by $x$ to eliminate the fractions.

Multiply each term in $\frac{3}{x} = - 3$ by $x$ .

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

Simplify the left side.

Cancel the common factor of $x$ .

Cancel the common factor.

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

Rewrite the expression.

$3 = - 3 x$

Step 4

Solve the equation.

Rewrite the equation as $- 3 x = 3$ .

$- 3 x = 3$

Divide each term in $- 3 x = 3$ by $- 3$ and simplify.

Divide each term in $- 3 x = 3$ by $- 3$ .

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

Simplify the left side.

Cancel the common factor of $- 3$ .

Cancel the common factor.

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

Divide $x$ by $1$ .

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

Simplify the right side.

Divide $3$ by $- 3$ .

$x = - 1$

Solve for x 9/(3x)=-6/2

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