Solve for x

Question

.
5/3x−4=−9
(1 point)
Responses

x=−3
x is equal to negative 3 - no response given

x=5
x is equal to 5 - no response given

x=−5
x is equal to negative 5 - no response given

x=3

Answer 1

To solve the equation \( \frac{5}{3}x - 4 = -9 \), we can follow these steps:

1. Add 4 to both sides of the equation:

\[ \frac{5}{3}x - 4 + 4 = -9 + 4 \]

This simplifies to:

\[ \frac{5}{3}x = -5 \]

2. Multiply both sides by the reciprocal of \(\frac{5}{3}\), which is \(\frac{3}{5}\):

\[ x = -5 \cdot \frac{3}{5} \]

This simplifies to:

\[ x = -3 \]

So the solution is:

\[ \boxed{x = -3} \]