To find the value of x in the equation 2x + 3 = 3x + 4, we need to isolate x on one side of the equation.
First, let’s rearrange the equation:
- Subtract 2x from both sides:
- 3 = 3x – 2x + 4
- This simplifies to:
- 3 = x + 4
Now, we need to isolate x by subtracting 4 from both sides:
- 3 – 4 = x + 4 – 4
- This results in:
- -1 = x
So, the value of x is -1.
To verify, we can substitute -1 back into the original equation:
- Left side: 2(-1) + 3 = -2 + 3 = 1
- Right side: 3(-1) + 4 = -3 + 4 = 1
Since both sides are equal, our solution is confirmed.