Final answer:
To solve the equation g + cx = yx for x, we isolate x by subtracting g from both sides, factoring out x, and then dividing by (c - y), resulting in x = -g / (c - y).
Step-by-step explanation:
The student has asked for the solution of the equation g + cx = yx for the variable x.
To solve for x, we need to isolate it on one side of the equation.
We can do this by subtracting g from both sides and then factoring out x on the side where it occurs.
This gives us x(c - y) = -g.
To solve for x, we then divide both sides by (c - y), assuming c is not equal to y.
Thus, the solution for x is x = -g / (c - y).