Solve for b:
3/(3 b+7) = 2/(b-7)
Take the reciprocal of both sides:
1/3 (3 b+7) = (b-7)/2
Expand out terms of the left hand side:
b+7/3 = (b-7)/2
Expand out terms of the right hand side:
b+7/3 = b/2-7/2
Subtract b/2+7/3 from both sides:
b/2 = -35/6
Multiply both sides by 2:
Answer: |b = -35/3 =-11 2/3
Solve for b:
3/(3 b+7) = 2/(b-7)
Take the reciprocal of both sides:
1/3 (3 b+7) = (b-7)/2
Expand out terms of the left hand side:
b+7/3 = (b-7)/2
Expand out terms of the right hand side:
b+7/3 = b/2-7/2
Subtract b/2+7/3 from both sides:
b/2 = -35/6
Multiply both sides by 2:
Answer: |b = -35/3 =-11 2/3