Question

What value of w satisfies the equation below:3(w+1)−2(w−3)=7

Answer 1

Step 1

GIven:

`3(w+1)-2(w-3)=7`

Required to find the value of w

Step 2

Expand bracket

`3w+3-2w+6=7`
`\begin{gathered} bring\text{ like terms together} \\ 3w-2w=7-6-3 \end{gathered}`
`\begin{gathered} \text{Simplify} \\ w=7-9 \\ w=-2 \end{gathered}`

Hence, w = -2 satisfies the equation