Solve: The difference of four times a number and five is the same as three more than twice a number. Find the number.
Question
Solve: The difference of four times a number and five is the same as three more than twice a number. Find the number.
Solution
Let's denote the unknown number as x.
According to the problem, we can write down the following equation:
4x - 5 = 2x + 3
To solve for x, we first need to get rid of the x terms on one side of the equation. We can do this by subtracting 2x from both sides:
4x - 2x - 5 = 2x - 2x + 3
This simplifies to:
2x - 5 = 3
Next, we need to isolate x by getting rid of the -5 on the left side. We can do this by adding 5 to both sides:
2x - 5 + 5 = 3 + 5
This simplifies to:
2x = 8
Finally, we divide both sides by 2 to solve for x:
2x / 2 = 8 / 2
So, x = 4.
Therefore, the number is 4.
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