Question

.Given: 3(x-4)=2x+7Prove: x=19PROOF:StatementsReasonsa. 3(x−4)=2x+73(x−4)=2x+7a. Givenb. 3x−12=2x+73x−12=2x+7b. ?

c. ?
c. Subtraction Propertyd. x=19d. ?What is Reason b? Select one:
a. Distributive Propertyb. Multiplication Property

Answer 1

The distributive property is the one that lets you remove parentheses by multiplying the factor outside by every term inside.

The distributive property is used in step b.

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The multiplication property of equality is the one that lets you multiply both sides of the equation by the same value. It is not used in the solution of this equation.