How to solve 2x= -x + 3 by graphing

  x = 1

Step-by-step explanation:

To find a solution to this by graphing, you would typically make a graph of the expression on the left, and another graph of the expression on the right. Where they intersect is the solution.

You would graph ...

You're only interested in the x-value where these lines cross, x=1.

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Alternate method

Graph the difference of the left side and the right side:

  y = (2x) -(-x +3)

and look for the value of x that makes y = 0. This, too, gives the solution x=1.

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Of course, once you have the equation ...

  0 = 3x -3

the solution is pretty obvious. (Divide by 3 to make it more obvious.)