Question

Solve for w.5w+16=3w+6w-12Simplify your answer as much as possible

Answer 1

To answer this question we will isolate the variable w.

Adding like terms in the given equation we get:

$5w+16=9w-12.$

Adding 12 to the above equation we get:

$\begin{gathered} 5w+16+12=9w-12+12, \\ 5w+28=9w. \end{gathered}$

Substracting 5w from the above result we get:

$\begin{gathered} 5w+28-5w=9w-5w, \\ 28=4w. \end{gathered}$

Dividing the above result by 4 we get:

$\begin{gathered} \frac{28}{4}=\frac{4w}{4}, \\ 7=w. \end{gathered}$

Answer:

$w=7.$