Question

which equation is correctly rewritten to solve for x? -fx-g=h (a) x=g-h/-f(b) x=h+g/-f(c) x=h+g/f(d) x=h-g/-f

Answer 1

Given the expression:

$-fx-g=h$

to start solving for x, first we need to move the -g to the other side of the equation. Since it has a negative sign, when we move it, the sign has to change:

$\begin{gathered} -fx-g=h \\ \Rightarrow-fx=h+g \end{gathered}$

Now, we have that -f is multiplying x. When we move it to the other side, f must divide the expression h+g:

$\begin{gathered} -fx=h+g \\ \Rightarrow x=\frac{h+g}{-f} \end{gathered}$

therefore, the equation to solve for x is x=(h+g)/-f