175k views
1 vote
What is the value of b in the equation 3b + 2(b − 1) = 8?

2
5
8
10

User Vmanne
by
5.0k points

2 Answers

0 votes
5b-2=8
5b=10
B=10/5
B=2
User Ladie
by
5.3k points
4 votes

3b + 2(b - 1) = 8

Follow PEMDAS. First distribute 2 to all terms within the parenthesis

2(b - 1) = 2b - 2

3b + 2b - 2 = 8

Next, Simplify. Combine like terms

(3b + 2b) - 2 = 8

5b - 2 = 8

Next, isolate the b. Add 2 to both sides

5b - 2 (+2) = 8 (+2)

5b = 8 + 2

5b = 10

Finally, isolate the b completely. Divide 5 from both sides

5b/5 = 10/5

b = 10/5

b = 2

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(A) 2 is your answer choice

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hope this helps

User Sandeep Sherpur
by
5.4k points
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