Answer: The solution to the equation 4x + 2 - (3x - 5) = 17 is x = 10.
Explanation:
To solve the equation 4x + 2 - (3x - 5) = 17, we can follow these steps:
Step 1: Distribute the negative sign to the terms inside the parentheses:
4x + 2 - 3x + 5 = 17
Step 2: Combine like terms:
(4x - 3x) + (2 + 5) = 17
x + 7 = 17
Step 3: Subtract 7 from both sides to isolate the variable x:
x + 7 - 7 = 17 - 7
x = 10
So, the solution to the equation 4x + 2 - (3x - 5) = 17 is x = 10.