Final answer:
To solve the equation 4x = -4r + 2d for x, isolate x by performing the same mathematical operations on both sides of the equation.
Step-by-step explanation:
To solve the equation 4x = -4r + 2d for x, we need to isolate x on one side of the equation. We can do this by performing the same mathematical operations on both sides of the equation. Let's start by moving the terms containing r and d to the other side:
4x + 4r - 2d = 0
Next, we can factor out the common factor of 4:
4(x + r - 0.5d) = 0
Finally, we divide both sides of the equation by 4 to solve for x:
x + r - 0.5d = 0
The solution for x is x = -r + 0.5d.