# The length of each side of an equilateral triangle is increased by 5 inches, so, the perimeter is now 60 inches. How do you write and solve an equation to find the original length of each side of the equilateral triangle?

Nov 11, 2016

I found:$15 \text{in}$

#### Explanation:

Let us call the original lengths $x$:

Increasing of $5 \text{in}$ will give us:
$\left(x + 5\right) + \left(x + 5\right) + \left(x + 5\right) = 60$
$3 \left(x + 5\right) = 60$
rearranging:
$x + 5 = \frac{60}{3}$
$x + 5 = 20$
$x = 20 - 5$
$x = 15 \text{in}$