Answer:
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Let's solve the equation step by step:
Let's assume the number is "x".
According to the problem statement, we can write the equation as:
8(x - 2) = 3(x + 3)
Now, let's solve for x:
Step 1: Distribute the 8 on the left side and the 3 on the right side:
8x - 16 = 3x + 9
Step 2: Move the variable terms to one side and the constant terms to the other side:
8x - 3x = 9 + 16
5x = 25
Step 3: Divide both sides of the equation by 5 to isolate x:
x = 25/5
x = 5
So the solution to the equation is x = 5.
Therefore, the number that satisfies the given equation is 5.
I hope this explanation helps you understand how to solve the given equation. If you have any further questions, feel free to ask!