Question

solve for x.\\(\frac{2x + 21}{3}=5\\)\\(\text{simplify your answer as much as possible.}\\)\\(x = \square\\)

Explanation:

Step1: Multiply both sides by 3

To eliminate the denominator, we multiply both sides of the equation \(\frac{2x + 21}{3}=5\) by 3. This gives us \(3\times\frac{2x + 21}{3}=5\times3\), which simplifies to \(2x + 21 = 15\).

Step2: Subtract 21 from both sides

Subtract 21 from each side of the equation \(2x + 21 = 15\) to isolate the term with \(x\). So, \(2x+21 - 21=15 - 21\), which simplifies to \(2x=-6\).

Step3: Divide both sides by 2

Divide both sides of the equation \(2x = - 6\) by 2 to solve for \(x\). That is, \(\frac{2x}{2}=\frac{-6}{2}\), which gives \(x=-3\).

Answer:

\(x = - 3\)