Which of the following is(are) the solution(s( to |5x+2|=8?

Step-by-step explanation:

Given that

|5x+2|=8

Note that

|x|=x for ×>0

|x|=-x for ×<0.

So, for the first case

|5x+2|=8

5x+2=8

5x=8-2

5x=6

x=6/5

Also, the second aspect.

|5x+2|=8

-(5x+2)=8

Divide both side by -

5x+2=-8

5x=-8-2

5x=-10

x=-10/2

x=-5

Since, this is an absolute value expression. We know that there is going to be 2 solutions.

We know that either 5x + 2 = 8 and 5x + 2 = -8 are the solutions.

Steps to solve:

5x + 2 = 8

~Subtract 2 to both sides

5x + 2 - 2 = 8 - 2

~Simplify

5x = 6

~Divide 5 to both sides

5x/5 = 6/5

~Simplify

x = 6/5

Steps to solve:

5x + 2 = -8

~Subtract 2 to both sides

5x + 2 - 2 = -8 - 2

~Simplify

5x = -10

~Divide 5 to both sides

5x/5 = -10/5

~Simplify

x = -2

Best of Luck!

the option best identifies the textual evidence that supports this conclusion is c.) when an argument is over, how many weighty reasons does a man recollect which his heat and violence made him utterly forget? in order to recognize textual evidence is to identify the topic sentence where the author states the main idea. textual evidence is what supports the topic sentence or main idea of a passage.