solve the equation. write a reason for every step

4x=12x+32

4x=12x+32

We want x by itself. Lets bring all "x"s together on one side. Lets bring 12x to 4x. To do that, subtract 12x from both sides (do the opposite operation).

4x-12x=32

Collect like terms 4x and 12x which result in - 8x

-8x=32

Now to get x by itself we need to get rid of - 8 factor it out by dividing each side by - 8 (again doing the opposite operation - since it's being multiplied, opposite is division)

So, x=32/-8

x=-4

Check:

Does 4 (-4) equal to 12 (-4) + 32?

-16 equal to - 48+32?

-16 equal to - 16?

Yes. Answer x=-4 is correct.

4x=12x+32

Subtract 12x from both sides

-8x=32

Divide both sides by - 8

x=-4