Question

Solve for x: 5|2x - 2| + 8 = 18.
a:x = 2, x = -2
c:x = 2, x = 0
There are other choices, but I know its either a or c.
Please HELP I will give a fan!

Answer 1

@phi @SolomonZelman

Answer 2

\(5|2x - 2| + 8 = 18\implies 5|2x - 2|=18-8\implies |2x - 2|=\cfrac{18-8}{5}
\\ \quad \\
\large { |2x - 2|=\cfrac{18-8}{5}\to
\begin{cases}
+(2x - 2)=\cfrac{18-8}{5}
\\ \quad \\
-(2x - 2)=\cfrac{18-8}{5}
\end{cases} }\)

Answer 3

\(\normalsize\color{blue}{ 5|2x - 2| + 8 = 18 }\)
\(\normalsize\color{blue}{ 5|2x - 2| + 8 \color{red}{-8}= 18\color{red}{-8} }\)
\(\normalsize\color{blue}{ 5|2x - 2| = 10 }\)
\(\normalsize\color{blue}{ 5|2x - 2| \color{red}{\div 5} = 10\color{red}{\div 5} }\)
\(\normalsize\color{blue}{ |2x - 2| =2 }\)

Answer 4

\(\normalsize\color{blue}{ 2|x - 1| =2 }\)
\(\normalsize\color{blue}{ 2|x - 1|\color{red}{ \div2} =2\color{red}{ \div2} }\)
\(\normalsize\color{blue}{ |x - 1| =1 }\)

Answer 5

can you finish it ?

Answer 6

Yes I can thank you! :)

Answer 7

both of you

Answer 8

Anytime:)