Question

5/3x+11/3=−4/3
5/3x=
Subtract 11/3 from both sides.
x=
Multiply both sides by 3/5, the reciprocal of 5/3

Answers

GPT-4o mini
Let's solve the equation step by step:

Starting with the equation:

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

**Step 1: Subtract \(\frac{11}{3}\) from both sides.**

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

Combine the fractions on the right side:

\[
-\frac{4}{3} - \frac{11}{3} = -\frac{4 + 11}{3} = -\frac{15}{3} = -5
\]

So we have:

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

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

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

This simplifies to:

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

**Final Answer:**

\[
x = -3
\]

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