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Solve for $j$ . $\newline$ $4j - 2 = 3\left(\frac{1}{3}j + 2\right)$ $\newline$ $j =$ __

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Solve multi-step equations with fractional coefficients

Full solution

Q. Solve for

j

.

\newline

4j - 2 = 3\left(\frac{1}{3}j + 2\right)

\newline

j =

__

Distribute terms in parentheses: Distribute $3$ to the terms inside the parentheses on the right side of the equation. $\newline$ $4j - 2 = 3 \times \left(\frac{1}{3}j + 2\right)$ $\newline$ $= 3 \times \frac{1}{3}j + 3 \times 2$ $\newline$ $= j + 6$
Subtract to isolate variable: Subtract $j$ from both sides to start isolating the variable. $\newline$ $4j - j - 2 = j + 6 - j$ $\newline$ $3j - 2 = 6$
Add to further isolate term: Add $2$ to both sides to further isolate the term with $j$ . $\newline$ $3j - 2 + 2 = 6 + 2$ $\newline$ $3j = 8$
Divide to solve for j: Divide both sides by $3$ to solve for $j$ . $\newline$ $\frac{3j}{3} = \frac{8}{3}$ $\newline$ $j = \frac{8}{3}$

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