Solve for x.
4(x – b) = x
(1 point)
Responses
b = 4 over 3x
b = Image with alt text: 4 over 3 x
b = three fourthsx
b = Image with alt text: three fourths x
x =4 over 3b
x = Image with alt text: 4 over 3 b
x = three fourths
To solve for x in the equation 4(x - b) = x, you can follow these steps:
1. Distribute the 4 to both terms inside the parentheses:
4x - 4b = x
2. Move all the x terms to one side of the equation and the constant terms to the other side:
4x - x = 4b
3x = 4b
3. Divide both sides of the equation by 3 to solve for x:
x = 4b/3
Therefore, the correct answer is:
x = 4b/3
To solve for x in the equation 4(x - b) = x, we will distribute the 4 to both terms inside the parentheses:
4x - 4b = x
Next, let's isolate the x term on one side of the equation by subtracting 4x from both sides:
-4b = x - 4x
Simplifying the right side gives:
-4b = -3x
To solve for x, we need to get rid of the coefficient -3. We can do this by dividing both sides of the equation by -3:
-4b / -3 = -3x / -3
Simplifying gives:
b = 4/3x
So the final solution for x is:
x = 4/3b
To solve for x in the equation 4(x - b) = x, you'll need to distribute the 4 to both terms inside the parentheses:
4 * x - 4 * b = x
Now, simplify the equation by combining like terms:
4x - 4b = x
Next, move all terms with x to one side of the equation by subtracting x from both sides:
4x - x = 4b
This simplifies to:
3x = 4b
Finally, to solve for x, divide both sides of the equation by 3:
x = 4b/3
Therefore, the solution for x is x = 4b/3.