To solve for x, we need to isolate the variable x on one side of the equation.
Given equation: 3/7x - 4 = -1
First, we can simplify the left side by multiplying each term in the fraction by the denominator 7:
(3 * 7 * x)/7 - 4 = -1
(21x)/7 - 4 = -1
Now, we can write the equation as:
(21x - 28)/7 = -1
Multiply both sides of the equation by 7 to eliminate the fraction:
7 * ((21x - 28)/7) = -1 * 7
21x - 28 = -7
Next, we can simplify the equation:
21x = -7 + 28
21x = 21
Now, divide both sides of the equation by 21:
(21x)/21 = 21/21
x = 1
Therefore, the solution to the equation 3/7x - 4 = -1 is x = 1.