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Solve for x

.

−9−2/3x=1

(1 point)
Responses

x=−15
x equals negative 15

x=−8
x equals negative 8

x=15
x equals 15

x=10

1 answer

To solve the equation \(-9 - \frac{2}{3}x = 1\), follow these steps:

  1. Start by isolating the term with \(x\). First, add 9 to both sides of the equation:

    \[ -\frac{2}{3}x = 1 + 9 \]

    \[ -\frac{2}{3}x = 10 \]

  2. Next, to eliminate the negative sign in front of \(\frac{2}{3}x\), multiply both sides by -1:

    \[ \frac{2}{3}x = -10 \]

  3. Now, to solve for \(x\), multiply both sides by the reciprocal of \(\frac{2}{3}\), which is \(\frac{3}{2}\):

    \[ x = -10 \times \frac{3}{2} \]

    \[ x = -15 \]

Thus, the solution is:

\[ \boxed{-15} \]