Question

solve \\(\frac{1}{5}(x + 21) = -6\\). \\(\bigcirc\\) \\(x = -135\\) \\(\bigcirc\\) \\(x = -51\\) \\(\bigcirc\\) \\(x = 9\\) \\(\bigcirc\\) \\(x = 14\\)

Explanation:

Step1: Eliminate the fraction

Multiply both sides of the equation \(\frac{1}{5}(x + 21)=-6\) by 5 to get rid of the fraction.
\(5\times\frac{1}{5}(x + 21)=5\times(-6)\)
Simplifying gives \(x + 21=-30\).

Step2: Solve for x

Subtract 21 from both sides of the equation \(x + 21=-30\).
\(x+21 - 21=-30 - 21\)
Simplifying gives \(x=-51\).

Answer:

\(x = -51\) (corresponding to the option: \(x = -51\))