Explaining and Justifying Equation Solving Steps Practice Test

Step 1: $2(3x-1)=10$ → $3x-1=5$ (Division Property of Equality) Step 2: $3x-1=5$ → $3x=4$ (Subtraction Property of Equality) Step 3: $3x=4$ → $x=\frac{4}{3}$ (Multiplication Property of Equality)

Step 1: $2(3x-1)=10$ → $6x-2=10$ (Commutative Property) Step 2: $6x-2=10$ → $x-2=10$ (Division Property of Equality) Step 3: $x-2=10$ → $x=12$ (Addition Property of Equality)

Step 1: $2(3x-1)=10$ → $6x-2=10$ (Distributive Property) Step 2: $6x-2=10$ → $6x=12$ (Addition Property of Equality) Step 3: $6x=12$ → $x=2$ (Division Property of Equality)

Step 1: $2(3x-1)=10$ → $6x-1=10$ (Distributive Property) Step 2: $6x-1=10$ → $6x=9$ (Addition Property of Equality) Step 3: $6x=9$ → $x=\frac{3}{2}$ (Division Property of Equality)