Four times the sum of a number and four is the same as two multiplied by two less than three times the number. What is the solution to this problem?

1 answer

Let's assume the number is x.

The sum of a number and four is x + 4.

Four times the sum of a number and four is 4(x + 4) = 4x + 16.

Two less than three times the number is 3x - 2.

According to the problem, 4x + 16 = 2(3x - 2).

Simplifying the equation, we get 4x + 16 = 6x - 4.

Bringing the variables to one side, we have 6x - 4x = 16 + 4.

Simplifying, we get 2x = 20.

Dividing both sides by 2, we get x = 10.

Therefore, the solution to the problem is x = 10.