Question

How would i go about solving this problem and could you please show me the break down

Answer 1

`|7x+14|=35`

Since the problem is an absolute value there will be two possible solutions to the system, due to the number of equations obtained

`\begin{gathered} 7x+14=35 \\ -(7x+14)=35 \end{gathered}`

solve each equation individually

`\begin{gathered} 7x+14=35 \\ 7x=35-14 \\ 7x=21 \\ x=(21)/(7) \\ x=3 \end{gathered}`
`\begin{gathered} -7x-14=35 \\ -7x=35+14 \\ -7x=49 \\ x=(49)/(-7) \\ x=-7 \end{gathered}`

the solutions to the absolute value are x=3 and x=-7.