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Solve for $q$ . $\newline$ $5 = 2(q + 2) - 3$ $\newline$ $q =$ _____

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Solve equations with the distributive property

Full solution

Q. Solve for

q

.

\newline

5 = 2(q + 2) - 3

\newline

q =

_____

Simplify equation: Simplify the right side of the equation by distributing and combining like terms. $\newline$ $5 = 2(q + 2) - 3$ $\newline$ $5 = 2q + 4 - 3$ $\newline$ $5 = 2q + 1$
Isolate q: Isolate q by subtracting $1$ from both sides. $\newline$ $5 - 1 = 2q + 1 - 1$ $\newline$ $4 = 2q$
Divide by $2$ : Divide both sides by $2$ to solve for $q$ . $\frac{4}{2} = \frac{2q}{2}$ $q = 2$

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