Jessica T. answered • 10/15/12

Music and Elementary Education Tutor

5-2x+9-3=3x+2

Because you are solving for x, you want all the x's on one side, so your final equation is x = #. You do this by getting all the x's on one side of the equation, and all the numbers on the other. You can move a number to the other side of the equation by performing the opposite operation (add <--> subtract; multiply <--> divide)

**remember: whatever you do to one side of the equation, you MUST do to the other side, so it stays equal on both sides.

Let's start by adding 2x to each side, so that all the x's are on the right side. We now have:

5+9-3=3x+2+2x

Next subract 2 on both sides, so the right side is only in terms of x:

5+9-3-2=3x+2x

We can now perform the operations on the left, and then the right:

Left: 5+9-3-2= 9

Right: 3x+2x=5x

9=5x

We now divide by 5 to get x all by itself:

9/5 = x