Question

Solve the equation. -2/3 (x - 7) = 1/6 (x + 1) - 3

Answer 1

Given:

`(-2)/(3)(x-7)=(1)/(6)(x+1)-3`

Solving it,

`\begin{gathered} (-2)/(3)x+(14)/(3)=(x)/(6)+(1)/(6)-3 \\ \end{gathered}`

Solving further,

`\begin{gathered} (-2)/(3)x-(x)/(6)=(1)/(6)-3-(14)/(3) \\ (-4x-x)/(6)=(1-18-28)/(6) \\ (-5x)/(6)=(-45)/(6) \\ -5x=-45 \\ x=(45)/(5) \\ x=9 \end{gathered}`

Therefore, the value of x = 9