|ax+b|=cx+d

can someone show me the steps to solving this?

1 answer

|x| = x if x >= 0
|x| = -x if x < 0
So you need to solve two equations:
ax+b = cx+d
a=c and b=d

-(ax+b) = cx+d
a = -c and b = -d

The above is what you need if the two expressions are to be identical.
If not, then you just need to find where the lines intersect to get a single solution.