Question 150824
{{{abs(-10x+70)=abs(8x-74)}}}
Absolute value problems are typically two problems in one (positive and negtive solution).
That's because {{{abs(x)=x}}} if x>0 and {{{abs(x)=-x}}} if x<0.
With an absolute value sign on each side, it now becomes 4 equations to solve.\
1. Positive=Positive
2. Positive=Negative
3. Negative=Positive
4. Negative=Negative
Luckily, if you look at the equations, 1 and 4 are the same, and 2 and 3 are the same. 
That is, if I multiply both sides of 1 by (-1), I get 4, and the same for 2 and 3.
So you really only have to solve two equations, we'll call them A and B.
A.{{{(-10x+70)=(8x-74)}}}
B.{{{(-10x+70)=-(8x-74)}}}
Let's start with A,
A.{{{-10x+70=8x-74}}}
{{{-18x=-144}}}
{{{highlight(x=8)}}}
and then B,
B.{{{-10x+70=-(8x-74)}}}
{{{-10x+70=-8x+74)}}}
{{{-2x=4)}}}
{{{highlight(x=-2)}}}