Solve the equation 4(x-b)=x

a.b=4/3 x
b. b=3/4 x
c. x 4/3 b
d. x= 3/4 b

4x-4b=x

-x -x
3x-4b=0
+4b +4b
3x=4b
x=4b/3
b=3x/4

so is it b

To solve the equation 4(x - b) = x, we can start by distributing the 4 to both terms inside the parentheses:

4x - 4b = x

Next, let's isolate the terms with x on one side of the equation by subtracting 4x from both sides:

-4b = x - 4x

Simplifying further:

-4b = -3x

Now, divide both sides of the equation by -3 to solve for x:

-4b / -3 = -3x / -3

This simplifies to:

b = 3/4x

Therefore, the correct answer is option d. x = 3/4b.