Answer :
We are asked to solve for "x" in the equation:
r x + q x - d = g c
so we need to isolate "x" on one side of the equal sign.
We proceed to group all the terms that do NOT contain "x" on the right hand side, by "adding " d to both sides:
r x + q x = g c + d
now we extract "x" as a common factor for the two terms on the left, using the inverse of the distributive property:
x (r + q) = g c + d
Now, to isolate x on the left, we divide both sides by the quantity in parenthesis "( r+ q )":
x = (g c + d) /(r + q)
If you are given options to choose look for the following:
[tex]x=\frac{g\text{ c + d}}{r\text{ + q}}[/tex]