Answer:
x = 16/3.
Explanation:
To solve for x in this problem, we need to use the information given about the perimeter of the rectangle. The formula for the perimeter of a rectangle is P = 2(l + w), where P is the perimeter, l is the length, and w is the width.
Given that the perimeter of the rectangle is 26, we can set up the equation as follows:
26 = 2((x+3)m + (2x-6)m)
Let's simplify the equation step by step:
1. Distribute the 2 to both terms inside the parentheses:
26 = 2(x+3)m + 2(2x-6)m
2. Simplify:
26 = 2x + 6 + 4x - 12
3. Combine like terms:
26 = 6x - 6
4. Add 6 to both sides of the equation:
26 + 6 = 6x - 6 + 6
32 = 6x
5. Divide both sides of the equation by 6 to solve for x:
32/6 = 6x/6
x = 32/6
x = 16/3