Answer:
x=3/4 or x=−1/2
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)