Solve for x. (-9)/(8x)-(9)/(x)=(9)/(8) Answer: x=

Combine terms over common denominator: Combine the terms on the left side of the equation over a common denominator. Since the denominators are 8x and x, the common denominator is 8x. We can write (-9)/(8x) as it is and multiply (-9)/(x) by 8/8 to get the common denominator. (-9)/(8x) - (9)/(x) * (8/8) = (9)/(8) (-9)/(8x) - (72)/(8x) = (9)/(8)Combine numerators over common denominator: Combine the numerators over the common denominator. (-9 - 72)/(8x) = (9)/(8) (-81)/(8x) = (9)/(8)Cross-multiply to solve for x: Cross-multiply to solve for x. Cross-multiplying gives us: -81 * 8 = 9 * 8x -648 = 72xDivide both sides to solve for x: Divide both sides by 72 to solve for x. -648 / 72 = 72x / 72 -9 = x

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Solve for
x.

(-9)/(8x)-(9)/(x)=(9)/(8)
Answer:
x=

Solve for $x$ . $\newline$ $\frac{-9}{8 x}-\frac{9}{x}=\frac{9}{8}$ $\newline$ Answer: $x=$

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Precalculus

Operations with rational exponents

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Q. Solve for

x

\newline

\frac{-9}{8 x}-\frac{9}{x}=\frac{9}{8}

\newline

Answer:

x=

Combine terms over common denominator: Combine the terms on the left side of the equation over a common denominator. $\newline$ Since the denominators are $8x$ and $x$ , the common denominator is $8x$ . We can write $(-9)/(8x)$ as it is and multiply $(-9)/(x)$ by $8/8$ to get the common denominator. $\newline$ $(-9)/(8x) - (9)/(x) \cdot (8/8) = (9)/(8)$ $\newline$ $(-9)/(8x) - (72)/(8x) = (9)/(8)$
Combine numerators over common denominator: Combine the numerators over the common denominator. $\newline$ $(-9 - 72)/(8x) = 9/8$ $\newline$ $(-81)/(8x) = 9/8$
Cross-multiply to solve for $x$ : Cross-multiply to solve for $x$ . Cross-multiplying gives us: $-81 \times 8 = 9 \times 8x$ $-648 = 72x$
Divide both sides to solve for x: Divide both sides by $72$ to solve for $x$ . $\newline$ $-648 / 72 = 72x / 72$ $\newline$ $-9 = x$