What is the answer to 2b minus 4 over 6 equal to b minus 2 over 12?

Answer 1

2b - 4/6 = b - 2/12

change those fractions to common denominators for easy handling. 12 is good.

2b - 8/12 = b - 2/12

multiply through by 12

12/1(2b - 8/12 = b - 2/12)12/1

24b - 8 = 12b - 2

subtract 12b from each side

12b - 8 = - 2

add 8 to each side

12b = 6

divide both sides by 12

b = 1/2

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check in original equation; keep as 6/12 (change to fraction, change fractions as needed )

2(6/12) - 8/12 = 6/12 - 2/12

12/12 - 8/12 = 6/12 - 2/12

4/12 = 4/12

checks

Answer 2

The answer is b=4, as the denominator of the left side can be simplified by dividing each term by 2 to get b - (4/3) = (b - 2)/2, which results in b = 4.