Question

If 12x + 8 is 7 less than 6, what is the value of 8x.

Answer 1

We have to express the given problem as an equation. Notice that "is" means equality and less than means a subtraction. Having said that, we can express the following.

`12x+8=6-7`

Then, we solve for x. First, we subtract 8 on each side.

`\begin{gathered} 12x+8-8=6-7-8 \\ 12x=-9 \\ \end{gathered}`

Then, we divide the equation by 12.

`\begin{gathered} (12x)/(12)=-(9)/(12) \\ x=-(3)/(4) \end{gathered}`

At last, we multiply each side by 8 to find the value for 8x.

`\begin{gathered} 8x=-(3)/(4)\cdot8 \\ 8x=-(24)/(4) \\ 8x=-6 \end{gathered}`

Therefore, the value of 8x is -6.