SOLUTION: How do i answer these questions? I am trying to help my daughter and can't remember. 2(x+4)+3x=12 On the next one, I can't remember if add the opposite would be add positi

Question 198874: How do i answer these questions? I am trying to help my daughter and can't remember.
2(x+4)+3x=12

On the next one, I can't remember if add the opposite would be add positive 5 to negative 17, yielding 12 or if it would be add -5 yielding -22
3/4x-5=-17

How do I answer?
2(m-3)=5(2m-6)

When do you need to reverse the inequality sign when you solve an inequality?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
# 1

Start with the given equation.

Distribute.

Combine like terms on the left side.

Subtract from both sides.

Combine like terms on the right side.

Divide both sides by to isolate .

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

Answer:

So the solution is which in decimal form is .

# 2

Start with the given equation.

Multiply EVERY term by the LCD to clear any fractions.

Distribute and multiply.

Add to both sides.

Combine like terms on the right side.

Divide both sides by to isolate .

Reduce.

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

Answer:

So the solution is

# 3

Start with the given equation.

Distribute.

Add to both sides.

Subtract from both sides.

Combine like terms on the left side.

Combine like terms on the right side.

Divide both sides by to isolate .

Reduce.

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

Answer:

So the solution is

When do you need to reverse the inequality sign when you solve an inequality?

Let's show why by example:

Let's say we have the inequality (which is true; 1 is less than 10). Now divide both sides by a negative number (say -1) to get

which is now false (-1 is NOT less than -10). So to correct this, we simply flip the inequality sign to get: and now the inequality is true again.
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