Question

5/3 x + 11/3 = -4/3

Subtract 11/3 from both sides

Answer 1

Let's start with the equation you've provided:

\[
\frac{5}{3}x + \frac{11}{3} = -\frac{4}{3}
\]

Now, subtract \(\frac{11}{3}\) from both sides of the equation:

\[
\frac{5}{3}x = -\frac{4}{3} - \frac{11}{3}
\]

Now, combine the fractions on the right side:

\[
-\frac{4}{3} - \frac{11}{3} = -\frac{4 + 11}{3} = -\frac{15}{3}
\]

This simplifies to:

\[
-\frac{15}{3} = -5
\]

Now the equation looks like this:

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

Next, to isolate \(x\), multiply both sides of the equation by \(\frac{3}{5}\):

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

This simplifies to:

\[
x = -3
\]

So, the solution is:

\[
\boxed{-3}
\]