Question

Solve each equation check your solution
2(3b-1)=40

Answer 1

b=7

Explanation:

2(3b-1)= 40

divide both sides by 2

3b-1 = 20

then add 1 to each side

3b = 21

then divide both sides by 3

b = 7

then check 2(3*7-1) = 40

Answer 2

b = 7

Explanation:

First, distribute 2 to all terms within the parenthesis

2(3b - 1) = 6b - 2

2(3b) = 6b

2(-1) = -2

6b - 2 = 40

Isolate the b. Note the equal sign. What you do to one side, you do to the other. Do the opposite of PEMDAS.

First, add 2 to both sides

6b - 2 (+2) = 40 (+2)

6b = 40 + 2

6b = 42

Isolate the b. Divide 6 from both sides

(6b)/6 = (42)/6

b = 42/6

b = 7

7 is your answer for b.

-----------------------------------------------------------------------------------------------------------

Check: Plug in 7 for b

2(3(7) - 1) = 40

First, solve the parenthesis. Multiply

3 x 7 = 21

Subtract. Complete the parenthesis

21 - 1 = 20

Multiply

2(20) = 40

------------------------------------------------------------------------------------------------------------

~Senpai