How do you solve #15x - 7= 202+ 34x#?

Question

412 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-11-20T11:46:59

#x = -11#

To solve this problem you need to perform the necessary mathematics to isolate #x# while always keeping the equality balanced:

First, subtract 202 from each side of the equality:

#15x - 7 - 202 = 202 - 202 + 34x#

#15x - 209 = 0 + 34x#

#15x - 209 = 34x#

Next, subtract #15x# from each side of the equality:

#15x - 15x - 209 = 34x - 15x#

#0 - 209 = (34 - 15)x#

#-209 = 19x#

Finally, divide each side of the equality by #19#:

#(-209)/19 = (19x)/19#

#-11 = 1x#

#x = -11#