146k views
2 votes
Solve the equation rx+qx-d=gc

User Nordhagen
by
4.6k points

1 Answer

5 votes

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:


x=\frac{g\text{ c + d}}{r\text{ + q}}

User Bpawlowski
by
4.4k points