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)

2 answers

Let's call the number "x". The given equation can be written as follows:

4(x + 4) = 2(3x - 2)

Now, let's simplify and solve for x:

4x + 16 = 6x - 4

Subtract 4x from both sides:

16 = 2x - 4

Add 4 to both sides:

20 = 2x

Divide both sides by 2:

x = 10

Therefore, the solution to this problem is x = 10.
A string is cut in two so that one section is 5 inches longer than the other. Twice the length of the longer section is three times the length of the shorter section. Write an equation that allows you to solve for the length of the shorter section. How long is the shorter section?(1 point)
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