Help solving for x

There are a few instances in the curriculum where you need to solve for x in an equation such as this : 500=32x + 25(1-x). I have just been solving through interation , but I would like a faster way. Can someone she some light on a faster way to solve for x or rearrange the equation?

I never took proper math in high school so I learned this way too late in life.

Multiply the 25 by both terms in the bracket, then you have 25 - 25X, then move the 25 onto the other side so all #'s are on 1 side and all #X are on the other side, then divide both by #X and you got what your X is equal to.

Hmm. Thank you, but I guess I’m a little slow. Not really following your explanation. Could you show your work?

500 = 32_x_ + 25(1 − x)

500 = 32_x_ + 25 – 25_x_

475 = 7_x_

x = 475 / 7 ≈ 67.85

Iteration for an equation that is linear in x??? Huh? Wha? :open_mouth: :broken_heart: :-1:

I propose MC method :).

If the larger term is x, and the smaller term is (x_-1_), you can simplify the steps.

Just take the target term (500) and minus the smaller term (25) = 475

Take the larger term (32) and minus the smaller term (25) = 7x

The rest is the same:

475 = 7x

_x = 475 / 7 = 67.9 _

Thank you magician and djdevz. Much appreciated!

You’re welcome.

I had the same difficulty, and I used this site - Algebra Calculator