Question

.Given: 3(x-4)=2x+7

Prove: x=19


PROOF:

Statements Reasons
a. 3(x−4)=2x+73(x−4)=2x+7 a. Given
b. 3x−12=2x+73x−12=2x+7 b. ?
c. ? c. Subtraction Property
d. x=19 d. ?

What is Reason b?
Select one:
a. Distributive Property
b. Multiplication Property

Answer 1

 3(x-4)=2x+7 the answer is going to be x-19

Answer 2

Distributive Property

Explanation:

3(x-4)=2x+7

Using Distributive property on left hand side we get

3*x-3*4 = 2x+7

3x-12=2x+7

Now we bring all the terms to one side of the equation, make sure we change sign while moving them to other side of =

3x-12-2x-7=0

Now bring the terms with x together and constant terms also

3x-2x -12-7=0

Simplifying the above polynomial

x-19=0

Now we add 19 on both sides

x-19+19=0+19

x-0=19

Hence x=19