The shortest side of an isosceles triangle is (2x - 3), in inches, in the triangle below. The two longer sides are each (2x + 3). The perimeter of the triangle is 33 inches.

What is the value of ‘x’?

(2x - 3) + 2(2x + 3) = 33

6x + 3 = 33

6x = 30

x = ?

x = 5

Thank You

Yes. You are welcome.

To find the value of 'x' in this problem, we need to use the fact that the perimeter of a triangle is the sum of all its sides.

The perimeter of an isosceles triangle is calculated by adding the lengths of the two congruent sides and the length of the base (shortest side).

In this case, we know that the perimeter is 33 inches, so we can set up an equation:

Perimeter = Length of Longer Side + Length of Longer Side + Length of Shorter Side

33 = (2x + 3) + (2x + 3) + (2x - 3)

Now we can simplify the equation:

33 = 4x + 6 + 2x - 3

Combine like terms:

33 = 6x + 3

Next, we want to isolate 'x' on one side of the equation. To do this, we can subtract 3 from both sides:

33 - 3 = 6x + 3 - 3

30 = 6x

To solve for 'x', we can divide both sides by 6:

30/6 = 6x/6

5 = x

Therefore, the value of 'x' is 5.