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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.

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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.

This problem has been solved

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