SOLUTION: 5-1(2x+3)= -2(4+x) This question is for no solutions and all real numbers

Question 47389: 5-1(2x+3)= -2(4+x)
This question is for no solutions and all real numbers
Found 2 solutions by checkley71, tsmith5651:
Answer by checkley71(8403) (Show Source): You can put this solution on YOUR website!
NO SOLUTIONS
Answer by tsmith5651(7) (Show Source): You can put this solution on YOUR website!
Simplifying
5 + -1(2x + 3) = -2(4 + x)
Reorder the terms:
5 + -1(3 + 2x) = -2(4 + x)
5 + (3 * -1 + 2x * -1) = -2(4 + x)
5 + (-3 + -2x) = -2(4 + x)
Combine like terms: 5 + -3 = 2
2 + -2x = -2(4 + x)
2 + -2x = (4 * -2 + x * -2)
2 + -2x = (-8 + -2x)
Add '2x' to each side of the equation.
2 + -2x + 2x = -8 + -2x + 2x
Combine like terms: -2x + 2x = 0
2 + 0 = -8 + -2x + 2x
2 = -8 + -2x + 2x
Combine like terms: -2x + 2x = 0
2 = -8 + 0
2 = -8
Solving
2 = -8
This equation is invalid, the left and right sides are not equal, therefore there is no solution.

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