Question

solve for x in simplest form.
13 = \frac{4}{3}(x + 3)

Explanation:

Step1: Multiply both sides by 3

To eliminate the fraction, multiply both sides of the equation \(13 = \frac{4}{3}(x + 3)\) by 3. This gives \(3\times13 = 4(x + 3)\), so \(39 = 4(x + 3)\).

Step2: Divide both sides by 4

Divide both sides of the equation \(39 = 4(x + 3)\) by 4. We get \(\frac{39}{4}=x + 3\).

Step3: Subtract 3 from both sides

Subtract 3 from both sides to solve for \(x\). First, rewrite 3 as \(\frac{12}{4}\), then \(\frac{39}{4}-\frac{12}{4}=x\), so \(x=\frac{27}{4}\).

Answer:

\(x = \frac{27}{4}\)