Solve for x 9/(-3x)=12/(x+10)

$\frac{9}{- 3 x} = \frac{12}{x + 10}$

Simplify both sides.

Cancel the common factor of $9$ and $- 3$ .

Factor $3$ out of $9$ .

$\frac{3 (3)}{- 3 x} = \frac{12}{x + 10}$

Cancel the common factors.

Factor $3$ out of $- 3 x$ .

$\frac{3 (3)}{3 (- x)} = \frac{12}{x + 10}$

Cancel the common factor.

$\frac{3 \cdot 3}{3 (- x)} = \frac{12}{x + 10}$

Rewrite the expression.

$\frac{3}{- x} = \frac{12}{x + 10}$

Move the negative in front of the fraction.

$- \frac{3}{x} = \frac{12}{x + 10}$

Multiply the numerator of the first fraction by the denominator of the second fraction. Set this equal to the product of the denominator of the first fraction and the numerator of the second fraction.

$- 3 (x + 10) = x \cdot 12$

Solve the equation for $x$ .

Simplify $- 3 (x + 10)$ .

Start simplifying.

$0 + 0 - 3 (x + 10) = x \cdot 12$

Simplify by adding zeros.

$- 3 (x + 10) = x \cdot 12$

Apply the distributive property.

$- 3 x - 3 \cdot 10 = x \cdot 12$

Multiply $- 3$ by $10$ .

$- 3 x - 30 = x \cdot 12$

Move $12$ to the left of $x$ .

$- 3 x - 30 = 12 x$

Move all terms containing $x$ to the left side of the equation.

Subtract $12 x$ from both sides of the equation.

$- 3 x - 30 - 12 x = 0$

Subtract $12 x$ from $- 3 x$ .

$- 15 x - 30 = 0$

Add $30$ to both sides of the equation.

$- 15 x = 30$

Divide each term in $- 15 x = 30$ by $- 15$ and simplify.

Divide each term in $- 15 x = 30$ by $- 15$ .

$\frac{- 15 x}{- 15} = \frac{30}{- 15}$

Simplify the left side.

Cancel the common factor of $- 15$ .

Cancel the common factor.

$\frac{- 15 x}{- 15} = \frac{30}{- 15}$

Divide $x$ by $1$ .

$x = \frac{30}{- 15}$

Simplify the right side.

Divide $30$ by $- 15$ .

$x = - 2$

Solve for x 9/(-3x)=12/(x+10)

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