we have
\(2\left|x+5.3\right|=4.2\)
Step 1
Find the first solution (case positive)
\(2(x+5.3)=4.2\)
Eliminate the parenthesis left side
\(2x+10.6=4.2\)
Subtract \(10.6\) both sides
\(2x=4.2-10.6\)
\(2x=-6.4\)
Divide by \(2\) both sides
\(x=-3.2\)
Step 2
Find the second solution (case negative)
\(2[-(x+5.3)]=4.2\)
Eliminate the parenthesis left side
\(-2x-10.6=4.2\)
Adds \(10.6\) both sides
\(-2x=4.2+10.6\)
\(-2x=14.8\)
Divide by \(-2\) both sides
\(x=-7.4\)
therefore
the answer is the option C
x can equal –3.2 or –7.4
