Question

solve for x in simplest form.
5 = \frac{1}{3}(5x + 3)

Explanation:

Step1: Eliminate the fraction

Multiply both sides of the equation by 3 to get rid of the fraction. So, \(3\times5 = 3\times\frac{1}{3}(5x + 3)\), which simplifies to \(15 = 5x + 3\).

Step2: Isolate the term with x

Subtract 3 from both sides of the equation. \(15 - 3 = 5x + 3 - 3\), which gives \(12 = 5x\).

Step3: Solve for x

Divide both sides by 5. \(\frac{12}{5}=x\) or \(x = \frac{12}{5}\).

Answer:

\(x=\frac{12}{5}\)