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Solve for $d$ . $\newline$ $\frac{1}{2}(d + 4) = d - 1$ $\newline$ d = ____

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Solve multi-step equations with fractional coefficients

Full solution

Q. Solve for

d

.

\newline

\frac{1}{2}(d + 4) = d - 1

\newline

d = ____

Distribute terms: Distribute $\frac{1}{2}$ to the terms inside the parentheses. $\newline$ $\frac{1}{2}(d + 4) = \frac{1}{2} \times d + \frac{1}{2} \times 4 = \frac{1}{2}d + 2$
Subtract to isolate $d$ : Subtract $\frac{1}{2}d$ from both sides to start isolating $d$ .
$\frac{1}{2}d + 2 - \frac{1}{2}d = d - 1 - \frac{1}{2}d$
$2 = \frac{1}{2}d - 1$
Add to isolate $\frac{1}{2}d$ : Add $1$ to both sides to further isolate $\frac{1}{2}d$ . $\newline$ $2 + 1 = \frac{1}{2}d - 1 + 1$ $\newline$ $3 = \frac{1}{2}d$
Multiply to solve for $d$ : Multiply both sides by $2$ to solve for $d$ . $2 \times 3 = \frac{1}{2}d \times 2$ $6 = d$

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