So let's just start off subtracting 2x from both sides of the equation.
Or, you could actually subtract 5x from both sides. As long as you do legitimate operations, you will eventually get the right answer. And we're also going to subtract 2 x's from the right.
the left-hand side is these two orange x's plus 3. So minus 2, we could write as -- so let me do this in a different color, I'll do it in pink. Now, we want to isolate the x's on the same side of the equation. You'd have a positive number of x's on the right-hand side.
You would never actually have to do it this way when you're solving the problem. But I'm doing this for you so you can actually visualize what this equation is saying. We could subtract these two x's from both sides of the equation. Because then you'd have 5 x's minus the 2 x's. So you're just left with -- you're just left with the 3.
So let's draw this garden here, Tina's garden.
So if this is the width, then this is also going to be the width. And they tell us that the length of the garden is twice the width.
Well, it's going to be w plus w plus 2w plus 2w. The perimeter of this garden is going to be equal to w plus 2w plus w plus 2w, which is equal to what?
But they also tell us that the actual numerical value of the perimeter is 60 feet. So this perimeter 6w must be equal to 60 if we assume that we're dealing with feet. We can divide both sides of this equation by 6 so that we have just a w on the left-hand side.
Two step algebraic equations are relatively quick and easy -- after all, they should only take two steps.
Click "Show Answer" underneath the problem to see the answer.