Question 88509
Start with the formula for the perimeter of a rectangle:
{{{P = 2L+2W}}} where, L = length, W = width, and P = 50.
You are given that one side (let this side be L) is 2x-5 and the other side (let this side be W) is x.  Substitute these for L and W into the formula and solve for x.
{{{50 = 2(2x-5)+2x}}}
{{{50 = 4x-10+2x}}}
{{{50 = 6x-10}}} Add 10 to both sides.
{{{60 = 6x}}} Divide both sides by 6.
{{{10 = x}}}
So the lengths of the sides of the rectangle are:
Length = 2x-5 = 2(10)-5 = 20-5 = 15
Width = x = 10