Question

Solve for x: 4|2x - 2| + 10 = 34

Answer 1

```
1. subtract 10 from both sides
2. divide both sides by 4
```
for now

Answer 2

\(\large\color{slate}{ 4|2x - 2| + 10 = 34 }\)
lets start with step #1 (subtracting 10 from both sides)

\(\large\color{slate}{ 4|2x - 2| + 10 \color{red}{-10}= 34 \color{red}{-10} }\)
what do you then get?

Answer 3

x = -4, x = 2 ?

Answer 4

the other way around

Answer 5

\(\large\color{slate}{ |2x - 2| =6 }\)

Answer 6

\(\large\color{slate}{ |2(-2) - 2| =|-4-2|=6 }\)

\(\large\color{slate}{ |2(4) - 2| =|8-2|=6 }\)

Answer 7

So x= 4, and x =-2

Answer 8

yes