Question

What is the justification for each step in the solution of the equation -5(4x+6)<-18 x+6+4x

Answer 1

• Given    -5(4x+6)<-18 x+6+4x

• Distributive Property Of Equality  -20x - 30 < -18x + 6 + 4x

          multiply -5 to 4x and 6, so you've got -20x - 30

• Combine Like Terms  -34x - 30 < 6

         add all the numbers that has a variable, (-20x) + (-18x) + 4, so you've got -34x

• Addition Property of Equality  -34x < 36

            add 30 on both sides like this, -34x -30+30 < 6+30

• Division Property of Equality x > -1.1

        divide -34 ;like this, -34x/-34 < 36/34

so the answer is x > -1.1