To solve the equation 5(x - 2) = (1 ÷ 125)(x + 3), we need to isolate the variable "x" on one side of the equation.
First, let's simplify the right side of the equation:
(1 ÷ 125)(x + 3) = (1 ÷ 125)x + (1 ÷ 125)3 = x/125 + 3/125 = (x + 3)/125
Now, let's simplify the left side of the equation:
5(x - 2) = 5x - 10
Now, we have:
5x - 10 = (x + 3)/125
To isolate "x" on one side, we'll multiply both sides by 125:
125 * 5x - 125 * 10 = 125 * (x + 3) / 125
Expanding the right side:
125 * 5x - 125 * 10 = x + 3
Combining like terms on the left side:
625x - 1250 = x + 3
Subtracting "x" from both sides:
624x - 1250 = 3
Adding 1250 to both sides:
624x = 1253
Dividing both sides by 624:
x = 2
So the solution to the equation is x = 2, which is not equal to any of the options (-7/4, 4/7, or 7/4).