SOLUTION: my daughter has brought home her homework but left her book at school. Can you help? All the questions are similar so i would just need help with a couple to get started. Thanks

Algebra ->  Equations -> SOLUTION: my daughter has brought home her homework but left her book at school. Can you help? All the questions are similar so i would just need help with a couple to get started. Thanks       Log On


   

Question 186744: my daughter has brought home her homework but left her book at school. Can you help? All the questions are similar so i would just need help with a couple to get started. Thanks
-2x-4=3x-19
-3-2x=-7x+57
-3x+2=-5x+16
4-6x=x+32
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
# 1



-2x-4=3x-19 Start with the given equation.


-2x=3x-19%2B4 Add 4 to both sides.


-2x-3x=-19%2B4 Subtract 3x from both sides.


-5x=-19%2B4 Combine like terms on the left side.


-5x=-15 Combine like terms on the right side.


x=%28-15%29%2F%28-5%29 Divide both sides by -5 to isolate x.


x=3 Reduce.


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

Answer:

So the answer is x=3





# 2



-3-2x=-7x%2B57 Start with the given equation.


-2x=-7x%2B57%2B3 Add 3 to both sides.


-2x%2B7x=57%2B3 Add 7x to both sides.


5x=57%2B3 Combine like terms on the left side.


5x=60 Combine like terms on the right side.


x=%2860%29%2F%285%29 Divide both sides by 5 to isolate x.


x=12 Reduce.


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

Answer:

So the answer is x=12




# 3



-3x%2B2=-5x%2B16 Start with the given equation.


-3x=-5x%2B16-2 Subtract 2 from both sides.


-3x%2B5x=16-2 Add 5x to both sides.


2x=16-2 Combine like terms on the left side.


2x=14 Combine like terms on the right side.


x=%2814%29%2F%282%29 Divide both sides by 2 to isolate x.


x=7 Reduce.


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

Answer:

So the answer is x=7




# 4



4-6x=x%2B32 Start with the given equation.


-6x=x%2B32-4 Subtract 4 from both sides.


-6x-x=32-4 Subtract x from both sides.


-7x=32-4 Combine like terms on the left side.


-7x=28 Combine like terms on the right side.


x=%2828%29%2F%28-7%29 Divide both sides by -7 to isolate x.


x=-4 Reduce.


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

Answer:

So the answer is x=-4