How do you solve x+ 2x = 360?

2 Answers
Apr 2, 2018

x=120

Explanation:

Let's simplify the left side. x and 2x are like terms, given that they are both multiplied by x:
(\color(blue)(1))x and (2)x*

We can apply the Distributive Property to that, and get
(1+2)x=3x.

Now we solve for the value of x:
3x=360
Divide both sides by 3 to isolate the variable:
\frac(\cancel(\color(red)(3))x)(\cancel(\color(red)(3)))=360/\color(red)(3)
x=120

*Note: Any variable without a written coefficient is read as coefficient 1.

Apr 2, 2018

The answer is 120.

Explanation:

First we group like terms together, in this case x and 2x.

x+2x=3x

Now we have: 3x=360

We need to calculate x, (not 3x) so we must divide by 3.

What we do to the LHS, we do to the RHS, so we divide 360 by 3 to get 120.