To find x in the equation 2x + 5 = 3 + 3x – 10, we first simplify both sides of the equation.
Start by combining like terms on the right side:
- 3 – 10 = -7
Now, rewrite the equation:
2x + 5 = 3x – 7
Next, we want to isolate x. Let’s start by moving all the x terms to one side and the constant terms to the other side. We can do this by subtracting 2x from both sides:
5 = 3x – 2x – 7
This simplifies to:
5 = x – 7
Now, add 7 to both sides to solve for x:
5 + 7 = x
This gives us:
x = 12
So, the value of x is 12.