Solve for x 4-9/x=7 - MathMaster

$4 - \frac{9}{x} = 7$

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

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Subtract $4$ from both sides of the equation.

$- \frac{9}{x} = 7 - 4$

Subtract $4$ from $7$ .

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

Solve for $x$ .

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Multiply each term by $x$ and simplify.

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Multiply each term in $- \frac{9}{x} = 3$ by $x$ .

$- \frac{9}{x} \cdot x = 3 \cdot x$

Cancel the common factor of $x$ .

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Move the leading negative in $- \frac{9}{x}$ into the numerator.

$\frac{- 9}{x} \cdot x = 3 \cdot x$

Cancel the common factor.

$\frac{- 9}{x} \cdot x = 3 \cdot x$

Rewrite the expression.

$- 9 = 3 \cdot x$

$- 9 = 3 x$

Rewrite the equation as $3 x = - 9$ .

$3 x = - 9$

Divide each term by $3$ and simplify.

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Divide each term in $3 x = - 9$ by $3$ .

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

Cancel the common factor of $3$ .

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Cancel the common factor.

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

Divide $x$ by $1$ .

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

Divide $- 9$ by $3$ .

$x = - 3$

Solve for x 4-9/x=7

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