SOLUTION: please solve and show work -3|x+4|=-6x

Question 151066: please solve and show work
-3|x+4|=-6x
Found 2 solutions by vleith, jim_thompson5910:
Answer by vleith(2983) (Show Source): You can put this solution on YOUR website!
Given

So
x+4 = 2x
4 = x
AND
-(x+4) = 2x
x+4 = -2x
4 = -3x
-4/3 = x
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation.

Divide both sides by -3.

Remember, the equation breaks down to or . So in this case, breaks down to

or

Let's solve the first equation

Start with the first equation.

Subtract from both sides.

Subtract from both sides.

Combine like terms on the left side.

Divide both sides by to isolate .

Reduce.

So the first possible solution is

However, we must check it

Check:
Start with the given equation.

Plug in

Multiply

Add

Take the absolute value

Multiply

Since the equation is true, this means that is a solution.

So the first solution is

------------------------------------

Now let's solve the second equation

Start with the second equation.

Subtract from both sides.

Add to both sides.

Combine like terms on the left side.

Divide both sides by to isolate .

So the second possible solution is

However, we must check it

Check:
Start with the given equation.

Plug in

Multiply

Add

Take the absolute value

Multiply

Since the equation is not true, this means that is not a solution.

=====================================================

Answer:

So the only solution is

RELATED QUESTIONS
Solve x^(2)-6x+4=0 by completing the square Please show... (answered by checkley79)
please solve and show work, thanks... (answered by bubblz190)
Combine: (3/x(to the 2nd) + 3x - 4) - (4/x(to the 2nd) - 6x - 40) Please show work and (answered by bucky)
Solve for x and show work; (6x-7)/4 + (3x-5)/7 =... (answered by JellyBeans)
solve for x. please show work,... (answered by Alan3354)
9x - 2 = 4(x - 3) solve and check "please show work w/each step" thank... (answered by ankor@dixie-net.com)
solve (-6x^4+3x^2-16)+ (4x^2+4x-7) please show... (answered by zeynep)
Fractional Equation-please solve and show work x/4 - x+4/5 = 1 Thank... (answered by checkley71)
can you solve and show work for this rational equation please... (answered by checkley77)