Question

14. Select ALL equations equivalent to 2(x - 1) + 4x = 14*2x - 1 + 4x = 142x - 2 + 4x = 14X-1 + 2x = 76x - 2 = 146x = 12

Answer 1

Step-by-step explanation

Given the equation

`2(x-1)+4x=14`

We can find the equivalent equations below.

Number 1

`\begin{gathered} 2(x-1)+4x=14 \\ 2x-2+4x=14 \end{gathered}`

Number 2

`\begin{gathered} 2(x-1)+4x=14 \\ 2x-2+4x=14 \\ 2(x-1+2x)=14 \\ x-1+2x=7 \end{gathered}`

Number 3

`\begin{gathered} 2(x-1)+4x=14 \\ 2x-2+4x=14 \\ 6x-2=14 \end{gathered}`

Answer:

`\begin{gathered} \Rightarrow2x-2+4x=14 \\ \Rightarrow x-1+2x=7 \\ \Rightarrow6x-2=14 \end{gathered}`