SOLUTION: -3x+1=5-2x I know the answer is -4 because it is in the back of the book. can you please explain very detailed how they get this answer. I have a learning disability so I need v

Question 150072This question is from textbook elementary and intermediate algebra
: -3x+1=5-2x
I know the answer is -4 because it is in the back of the book. can you please explain very detailed how they get this answer. I have a learning disability so I need very detailed and basic step by step instructions on how to work it.
Thank you very much This question is from textbook elementary and intermediate algebra

Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
-3x + 1 = 5 - 2x
:
We want to isolate x on the left by performing algebra operations on both sides
:
Add 2x to both sides
-3x + 2x + 1 = 5 - 2x + 2x
;
Do the math on like terms and we have
-1x + 1 = 5
:
subtract 1 from both sides
-x + 1 -1 = 5 - 1
:
which is
-x = 4
:
We have to have the variable (x) to be positive, multiply both sides by -1
-1(-x) = -1(3)
:
x = -4
:
:
Check solution in the original equation, substitute -4 for x
-3(-4) + 1 = 5 - 2(-4)
+12 + 1 = 5 + 8
13 = 13 proves our solution is correct
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