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3(g+1)/8=5(g+2)/7

Please help! I've been having trouble solving linear equations and I need as much help as I can get! Please, go in to detail as much as you possibly can! Thank you!

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Martin S. | Academic Coaching from a Certified HS TeacherAcademic Coaching from a Certified HS Te...
3.5 3.5 (4 lesson ratings) (4)
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This is basically a strightforward order of operations question.  Let's go through it step-by-step.
 
3(g + 1)/8 = 5(g + 2)/7
3(g + 1) = 40(g + 2)/7     [multiplied both sides by 8]
21(g + 1) = 40(g + 2)     [multiplied both sides by 7]
21g + 21 = 40(g + 2)     [distributed 21 across the binomial (g + 1)]
21g + 21 = 40g + 80     [distributed 40 across the binomial (g + 2)]
-19g + 21 = 80     [subtracted 40g from both sides]
-19g = 59     [subtracted 21 from both sides]
g ≅ -3.1     [divided both sides by -19]