Question

Which of the following best describes the solution to the equation below?

2(b+3)+2b=26
A) infinite solutions
B) no solution
C) exactly one solution who is b=7
D) exactly one solution which is b=5

Answer 1

D)One solution. b=5
Distribute 2 times b plus 2 times 3
2b+6
2b+6+2b=26
Combine like terms 4b+6=26
Subtract 6 from both sides
4b=20
Divide both sides by 4
b=5

Check by substituting 5 for b
2 (5+3)+2(5)=26
2(8) + 2(5)=26
16+10=26
26=26