Question

1/4x+1/2=5(5/6x+5)x= ?

Answer 1

For this problem, we need to solve the following expression:

`(1)/(4)x+(1)/(2)=5((5)/(6)x+5)`

For that, we need to isolate the x variable on the left side:

`\begin{gathered} (1)/(4)x+(1)/(2)=(25)/(6)x+25\\ \\ (25)/(6)x-(1)/(4)x=(1)/(2)-25\\ \\ (2\cdot25x-3x)/(12)=(1-50)/(2)\\ \\ (47x)/(12)=-(49)/(2)\\ \\ x=-(12\cdot49)/(2\cdot47)\\ \\ x=-(588)/(94)=-(294)/(47) \end{gathered}`

The value for x is equal to -294/47.