Question

What the solution is to this 1/3(b+6)=1/4b+8

Answer 1

You want to solve for "b", right?

1/3(b+6)=1/4b+8 distribute 1/3 into the parenthesis

1/3 b + 1/3*6 = 1/4 b + 8

1/3 b + 2 = 1/4 b + 8 now combine like terms

1/3 b - 1/4 b = 8-2

1/12 b = 6 multiply both sides by 12

b = 12*6 = 72


Therefore: b = 72

Answer 2

Distribute on the left side
1/3b+2=1/4b+8

Multiply all terms by 12 to eliminate fractions
4b+24=3b+96

Subtract 3b from both sides
b+24=96

Subtract 24 from both sides
b=72

Final answer: b=72