Question

solve for j.
2(j - 12.3) - 7.6 = 4.8
j =

Explanation:

Step1: Add 7.6 to both sides

To isolate the term with \( j \), we first add 7.6 to both sides of the equation \( 2(j - 12.3) - 7.6 = 4.8 \).
\[
2(j - 12.3) - 7.6 + 7.6 = 4.8 + 7.6
\]
Simplifying both sides, we get:
\[
2(j - 12.3) = 12.4
\]

Step2: Divide both sides by 2

Next, we divide both sides of the equation \( 2(j - 12.3) = 12.4 \) by 2 to solve for \( j - 12.3 \).
\[
\frac{2(j - 12.3)}{2} = \frac{12.4}{2}
\]
Simplifying both sides, we obtain:
\[
j - 12.3 = 6.2
\]

Step3: Add 12.3 to both sides

Finally, we add 12.3 to both sides of the equation \( j - 12.3 = 6.2 \) to solve for \( j \).
\[
j - 12.3 + 12.3 = 6.2 + 12.3
\]
Simplifying both sides, we find:
\[
j = 18.5
\]

Answer:

\( j = 18.5 \)