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!