Final answer:
To solve the equation 3x-5=2(x+4), first distribute the 2 across the x and 4, then isolate x by subtracting 2x and adding 5 to both sides to find that x equals 13.
Step-by-step explanation:
The student's question contains an algebraic equation 3x-5=2(x+4). To solve for x, you would perform the following steps:
- Distribute the 2 on the right side: 3x - 5 = 2x + 8.
- Subtract 2x from both sides to get x on one side of the equation: x - 5 = 8.
- Add 5 to both sides to solve for x: x = 8 + 5.
- Therefore, the solution is x = 13.
Remember, when you are working to isolate the variable in an equation, whatever you do to one side of the equation, you must do to the other side as well.