Question

Solve for x: −5|x + 1| = 10

Answer 1

\(\normalsize\color{blue}{−5|x + 1| = 10 }\)
\(\normalsize\color{blue}{−5|x + 1|\color{red}{ \div (-5)} = 10 \color{red}{ \div (-5)} }\)
\(\normalsize\color{blue}{|x + 1| = -2 }\) this gives that,

\(\normalsize\color{blue}{x + 1 = -2 }\) or \(\normalsize\color{blue}{x + 1 = 2 }\)

Answer 2

finish solving. Tell me if you need more help.

Answer 3

@SolomonZelman Thanks can you also help me solve this Solve for x: -3|x + 7| = -12

Answer 4

this one is solved similarly.

Can you first divide both sides by `-3` ?

Answer 5

@SolomonZelman Yes so it would be |x + 7|=4

Answer 6

yes, and after that you know that
` │x+7│ `can be equal to 4, or it can be equal to -4. So you would write,

\(\normalsize\color{blue}{ │x+7│=4~~~~~~~~\rm{or} ~~~~~~~~│x+7│=-4 }\)

Answer 7

I mean

\(\normalsize\color{blue}{ x+7=4~~~~~~~~\rm{or} ~~~~~~~~x+7=-4 }\)

Answer 8

@SolomonZelman And x would be -3 or 3

Answer 9

@SolomonZelman -3 or -11 i mean

Answer 10

Yes, -11 and -3 :)

Answer 11

@SolomonZelman Thanks :)

Answer 12

Enjoy :)

Answer 13

@SolomonZelman Hi again can you help me solve this one to Solve for x: |x − 2| + 10 = 12
Thanks