Question

X/3+1=5x/6-3 this is hard lol

Answer 1

We have the equation:

`\begin{gathered} (x)/(3)+1=5x-3 \\ \end{gathered}`

We can isolate x passing all the terms with x to one side and the numbers to the other side:

`\begin{gathered} (x)/(3)-5x=-3-1 \\ ((1)/(3)-5)\cdot x=-4 \\ ((1-5\cdot3)/(3))\cdot x=-4 \\ ((1-15)/(3))\cdot x=-4 \\ -(14)/(3)x=-4 \\ x=(-4)\cdot(-(3)/(14))=(3\cdot4)/(14) \\ x=(12)/(14)=(6)/(7) \end{gathered}`