Question

Which situation can be represented by 3x + 2 = 8x – 13?
Thirteen less than three times a number is the same as eight times the number, x, increased by 2. What is the value of x?
Three times a number decreased by 2 is the same as 8 times the number increased by 13. What is the value of x?
A square with a side length of x is dilated. Patrice described the length of the side of the new square as 2 units more than 3 times the original length. Kelvin described the length as 13 units more than 8 times the original length. What is the original length?
Kenny and Jacob were given congruent rectangles with widths of x units. The length of Kenny’s rectangle was 3 times the width increased by 2. The length of Jacob’s rectangle was 13 units less than 8 times the width. What is the width of their rectangles, x?

Answer 1

I will translate your first English statement into Math.

"Thirteen less than three times a number is the same as eight times the number, x, increased by 2. What is the value of x?"
3x - 13 = 8x - 2

Now do the same with the others and see which one matches your given equation.