3(x+2)

3x+6

=18

=18

1) How can we get Equation BBB from Equation AAA?

Choose 1 answer:

Choose 1 answer:

(Choice A)

A

Multiply/divide both sides by the same non-zero constant

(Choice B)

B

Multiply/divide only one side by a non-zero constant

(Choice C)

C

Rewrite one side (or both) by combining like terms

(Choice D)

D

Rewrite one side (or both) using the distributive property

2) Based on the previous answer, are the equations equivalent? In other words, do they have the same solution?

Choose 1 answer:

Choose 1 answer:

(Choice A)

A

Yes

(Choice B, Checked)

B

No

Question

Answered

Answer :

zrh2sfo zrh2sfo · Answer 1 · 2022-09-15T20:28:57-04:00

Answer:

(x = 4, x = 4)

Step-by-step explanation:

Gonna solve it but you need to do the rest, the answers are all in the solution.

Expand the following:

(3 (x + 2) = 18, 3 x + 6 = 18)

3 (x + 2) = 3 x + 3 2:

((3 x + 3 2) = 18, 3 x + 6 = 18)

3×2 = 6:

(3 x + 6 = 18, 3 x + 6 = 18)

Subtract 6 from both sides:

(3 x + (6 - 6) = 18 - 6, 3 x + 6 = 18)

6 - 6 = 0:

(3 x = 18 - 6, 3 x + 6 = 18)

18 - 6 = 12:

(3 x = 12, 3 x + 6 = 18)

Divide both sides of 3 x = 12 by 3:

((3 x)/3 = 12/3, 3 x + 6 = 18)

3/3 = 1:

(x = 12/3, 3 x + 6 = 18)

The gcd of 12 and 3 is 3, so 12/3 = (3×4)/(3×1) = 3/3×4 = 4:

(x = 4, 3 x + 6 = 18)

Subtract 6 from both sides:

(x = 4, 3 x + (6 - 6) = 18 - 6)

6 - 6 = 0:

(x = 4, 3 x = 18 - 6)

18 - 6 = 12:

(x = 4, 3 x = 12)

Divide both sides of 3 x = 12 by 3:

(x = 4, (3 x)/3 = 12/3)

3/3 = 1:

(x = 4, x = 12/3)

The gcd of 12 and 3 is 3, so 12/3 = (3×4)/(3×1) = 3/3×4 = 4:

Answer: (x = 4, x = 4)