Solve for x.
4 (x - b) = x
A. b = 4/3x
B. b = 3/4x
C. x = 4/3b
D. x = 3/4b
Is the answer C?
noine
4x - 4b = x
Subtract 4x from both sides.
-4b = -3x
Divide both sides by -3.
To solve for x in the equation 4(x - b) = x, you need to isolate x on one side of the equation. Here's how to do it step-by-step:
1. Distribute 4 to both terms inside the parentheses:
4x - 4b = x
2. Move all the terms with x to one side by subtracting x from both sides:
4x - x - 4b = 0
Simplifying, we have:
3x - 4b = 0
3. Now, let's isolate x. First, add 4b to both sides of the equation:
3x = 4b
4. Finally, to solve for x, divide both sides of the equation by 3:
x = 4b/3
So the correct answer is x = 4/3b. Therefore, the correct option is C.