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:

\( j = 18.5 \)