Answer:
x=0 or x=-3/2
Step-by-step explanation:
We know |3|=3 and |-3|=3 are true equations.
This means that 4x+3=3 or 4x+3=-3 and we know the absolute value of both 3 and -3 is just 3 which is the right hand side of the equation |4x+3|=3.
4x+3=3 or 4x+3=-3 can be solve by first subtracting 3 on both sides giving us:
4x=0 or 4x=-6
We can now divide both sides by 4 giving us:
x=0 or x=-6/4
Let's reduce the second answer:
x=0 or x=-3/2
(I divided numerator and denominator by 2.)
