SOLUTION: Solve: -3x + 14 - x

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Question 343956: Solve: -3x + 14 - x < 56 + 3x
Gracias!
Found 3 solutions by nerdybill, Jk22, ewatrrr:
Answer by nerdybill(7384)   (Show Source):
You can put this solution on YOUR website!
-3x + 14 - x < 56 + 3x
-4x + 14 < 56 + 3x
14 < 56 + 7x
-42 < 7x
-6 < x
x > -6

Answer by Jk22(389)   (Show Source):
You can put this solution on YOUR website!
-4x-3x<56-14
-7x<42
x>-6, x bigger than minus six.

Answer by ewatrrr(24785)   (Show Source):
You can put this solution on YOUR website!
-3x + 14 - x < 56 + 3x
SIMPLIFY:

SUBTRACT 3X FROM BOTH SIDES OF THE EQUATION

SUBTRACT 14 FROM BOTH SIDES OF THE EQUATION

DIVIDE BOTH SIDES OF THE EQUATION BY 7

SIMPLIFY: NEED TO KNOW
Multiplying/dividing by the same NEGATIVE number on both sides REQUIRES changing the orientation of the inequality sign.
MULTIPLY BOTH SIDES OF THE EQUATION BY -1

SOLUTION: Solve: -3x + 14 - x < 56 + 3x Gracias!