To find the solution to the equation 10 + 2d + 7 = 8 + 10 + 3d, we first simplify both sides of the equation.
On the left side, we combine the constant terms:
- 10 + 7 = 17
Thus, the left side simplifies to 17 + 2d.
Now, let’s simplify the right side:
- 8 + 10 = 18
So, the right side becomes 18 + 3d.
Now our equation looks like this:
17 + 2d = 18 + 3d
Next, we will isolate the variable d. We can start by subtracting 2d from both sides:
17 = 18 + 3d – 2d
This simplifies to:
17 = 18 + d
Next, we subtract 18 from both sides:
17 – 18 = d
This gives us:
-1 = d
Therefore, the solution to the linear equation is d = -1.