Final answer:
To solve the equation fx + gx = hg for g, isolate the variable g on one side of the equation by subtracting fx from both sides, factoring out g, and then dividing both sides by x.
Step-by-step explanation:
To solve the equation fx + gx = hg for g, you need to isolate the variable g on one side of the equation.
Step 1: Start by subtracting fx from both sides of the equation: gx = hg - fx
Step 2: Next, factor out g: g(x) = h(x) - fx
Step 3: Divide both sides of the equation by x to solve for g: g = (h - fx) / x