Question

1/2 (b - 10) + 2b = 25

Answer 1

the answer is 12

Explanation:

Simplify both sides of the equation.

12(b−10)+2b=25

(12)(b)+(12)(−10)+2b=25(Distribute)

12b+−5+2b=25

(12b+2b)+(−5)=25 (Combine Like Terms)

52b+−5=25

52b−5=25

add 5 to both sides.

52b−5+5=25+5

52b=30

multiply both sides by 2/5.

(25)*(52b)=(25)*(30)

b=12

Answer 2

b=12

Explanation:

1/2 (b - 10) + 2b = 25

Multiply each side by 2 to get rid of the fractions

2*1/2 (b - 10) +2* 2b = 25*2

b-10 +4b = 50

Combine like terms

5b -10 = 50

Add 10 to each side

5b -10+10 = 50+10

5b = 60

Divide by 5

5b/5 = 60/5

b = 12