Question

Solve for x: 3/7(x-4) = x/x-4
a. -7/3
b. -3/7
c. 3/7
d. 7/3

Answer 1

To solve the equation 3/7(x-4) = x/(x-4), cross multiply and simplify to find the solution x = -3.

Step-by-step explanation:

To solve the equation 3/7(x-4) = x/(x-4), we can start by cross multiplying:

(3/7)(x-4) = x/(x-4)

Now, we can clear the fractions by multiplying both sides of the equation by (x-4):

3(x-4) = 7x

Distributing:

3x - 12 = 7x

Subtracting 3x from both sides:

-12 = 4x

Dividing both sides by 4:

x = -3

So the solution to the equation is x = -3.