Question

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 point)

Answer 1

Let's represent the unknown number as "x".

According to the problem, four times the sum of the number and four can be expressed as 4(x + 4).

Similarly, two multiplied by two less than three times the number can be expressed as 2(3x - 2).

Now, we can set up an equation: 4(x + 4) = 2(3x - 2).

Simplifying this equation:
4x + 16 = 6x - 4.

Subtracting 4x from both sides:
16 = 2x - 4.

Adding 4 to both sides:
20 = 2x.

Dividing both sides by 2:
10 = x.

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