Answer:
To solve for the value of x that makes the equation 52(x−2)=4 true, we need to first isolate the x term on one side of the equation. We can do this by dividing both sides of the equation by 52 to get rid of the coefficient in front of the x term.
Dividing both sides of the equation by 52, we get:
52(x−2) = 4
(x−2) = 4/52
(x−2) = 1/13
Next, we can add 2 to both sides of the equation to isolate the x term on the left side of the equation.
(x−2) + 2 = 1/13 + 2
x = 1/13 + 2
x = (1/13) + (2/1)
x = (13+26)/13
x = 39/13
Therefore, the value of x that makes the equation 52(x−2)=4 true is x = 39/13.
Explanation: