Final answer:
To solve the equation 4x + c = -6x + d for x, rearrange it to combine like terms and isolate x, eventually finding x = (d - c)/10.
Step-by-step explanation:
To solve the equation 4x + c = -6x + d for x, you need to collect all the x terms on one side and the constant terms on the other side of the equation.
First, add 6x to both sides of the equation:
4x + 6x + c = d
Then combine like terms:
10x + c = d
Next, subtract c from both sides to isolate the term with x:
10x = d - c
Finally, divide both sides by 10 to solve for x:
x = (d - c)/10
This is how you find the value of x in the given equation.