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. ?
which statment b c and d

Answer 1

Step-by-step explanation:

3(x-4)=2x+7

⇔

3x - 12 = 2x + 7 (expand the left expression)

⇔

3x - 2x - 12 = 2x - 2x + 7 (subtract 2x from both sides)

⇔

x - 12 = 7

⇔

x - 12 + 12 = 7 + 12 (Add 12 to both sides)

⇔

x = 19