How do you solve the equation abs(1-2x)=9?

1 Answer
Oct 10, 2017

x=5 " or "-4

Explanation:

Rearranging equation, abs(-2x+1)=9

We know that either −2x+1=9 or −2x+1=−9

For the color(blue)("negative") case:
abs(-2x+1)=-(-2x+1)=9

=>+2x-1=9

=>+2x=9+1=10

=>x=10/2=5

For the color(red)("positive") case:
abs(-2x+1)=(-2x+1)=9

=>-2x=9-1=8

=>x=8/-2=-4

So, x=5 " or "-4