Question

Just need help solving number 6 or if Im on the right track.

Answer 1

Here, we need to isolate the terms including x on one side and other terms on the other side.

The first step is to apply the distributive property on the left side.

`(3)/(4)x-(9)/(4)=8-(2)/(3)x`

Now, isolate the terms containing x on one side and other terms on another side.

`(3)/(4)x+(2)/(3)x=8+(9)/(4)`

Now, we simplify the fractions by multiplying the least common multiple of denominators, that is equal to 12, in the above equation as follows:

`\begin{gathered} (3)/(4)x+(2)/(3)x=8+(9)/(4) \\ \Rightarrow12((3)/(4)x+(2)/(3)x)=12(8+(9)/(4)) \\ \Rightarrow9x+8x=96+27 \\ \Rightarrow17x=123 \\ \Rightarrow x=(123)/(17) \end{gathered}`

Hence, option D is correct.