Final answer:
To solve the equation (x + 17/5) - (3x - 7/4) = -2, combine like terms and isolate the variable x to find the solution x = 87/40.
Step-by-step explanation:
To solve the equation (x + 17/5) - (3x - 7/4) = -2, we can start by simplifying the equation. Distribute the negative sign to both terms in the second parentheses, which gives us:
x + 17/5 - 3x + 7/4 = -2
Combine like terms on the left side:
-2x + 47/20 = -2
Next, isolate the variable x by subtracting 47/20 from both sides:
-2x = -2 - 47/20
-2x = -40/20 - 47/20
-2x = -87/20
Finally, divide both sides by -2 to solve for x:
x = (-87/20) / -2
x = 87/40
x= 2.175