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

Question

451 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 $19$ :

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

$-11 = 1x$

$x = -11$

How do you solve 15x - 7= 202+ 34x15x - 7= 202+ 34x?