Question

(\frac{2}{5}(x - 2) = -3)

Explanation:

Step1: Eliminate the fraction

Multiply both sides of the equation \(\frac{2}{5}(x - 2)=- 3\) by \(\frac{5}{2}\) to get rid of the fraction.
\(\frac{5}{2}\times\frac{2}{5}(x - 2)=\frac{5}{2}\times(-3)\)
Simplifying the left - hand side, the \(\frac{5}{2}\) and \(\frac{2}{5}\) cancel out, so we have \(x - 2=-\frac{15}{2}\)

Step2: Solve for x

Add 2 to both sides of the equation \(x - 2=-\frac{15}{2}\).
We know that \(2=\frac{4}{2}\), so \(x=-\frac{15}{2}+\frac{4}{2}\)
Combining the fractions, we get \(x =-\frac{11}{2}=- 5.5\)

Answer:

\(x =-\frac{11}{2}\) (or \(x=-5.5\))