Question

Solve the equation 1/4 (x+2)+5=-x

Answer 1

We have to solve the equation

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

So we are going to let the variable x in one side of the equation and the constants (the numbers) in the other, but fisrt we open the parentheses

`\begin{gathered} -(1)/(4)x-(2)/(4)+5=-x \\ \\ -(1)/(4)x-(1)/(2)+5=-x \end{gathered}`

Now we can solve for x

`\begin{gathered} -(1)/(4)x+x-(1)/(2)+5=-x+x \\ \\ (3)/(4)x+(9)/(2)=0 \\ \\ (3)/(4)x+(9)/(2)-(9)/(2)=-(9)/(2) \\ \\ (3)/(4)x=-(9)/(2) \\ \\ x=(4)/(3)\cdot(-(9)/(2)) \end{gathered}`

So we have that

`x=-(36)/(6)=-6`

So the answer is x = - 6.