Solve the literal equation for x. Show all steps.
4(x − b)=x
To solve the equation 4(x - b) = x for x, we will simplify the left side of the equation first.
First, distribute the 4 to both terms inside the parentheses:
4x - 4b = x
Next, we want to isolate the x term. To do so, we will subtract 4x from both sides of the equation:
4x - 4b - 4x = x - 4x
Simplifying both sides:
-4b = -3x
To solve for x, we need to get rid of the coefficient in front of x. Divide both sides by -3:
(-4b) / -3 = (-3x) / -3
Simplifying:
4b/3 = x
Therefore, the solution for x is x = 4b/3.