Solve absolute value |5x| =x+3

x=3/4 or x=−1/2

Step-by-step explanation:

Let's solve your equation step-by-step.

|5x|=x+3

Solve Absolute Value.

|5x|=x+3

We know either5x=x+3or5x=−(x+3)

5x=x+3(Possibility 1)

5x−x=x+3−x(Subtract x from both sides)

4x=3

4x4=34(Divide both sides by 4)

x=34

5x=−(x+3)(Possibility 2)

5x=−x−3(Simplify both sides of the equation)

5x+x=−x−3+x(Add x to both sides)

6x=−3

6x6=−36(Divide both sides by 6)

x=−12

Check answers. (Plug them in to make sure they work.)

x=34(Works in original equation)

x=−12(Works in original equation)

answer is x<