Question 318396
{{{b/6 - (b-2)/8=4}}} Start with the given equation.



{{{24(b/6) - 24((b-2)/8)=24*4}}} Multiply EVERY term by the LCD 24 to clear out the fractions.



{{{4b - 24((b-2)/8)=24*4}}} Multiply 24 and {{{b/6}}} to get {{{4b}}}



{{{4b - 3(b-2)=24*4}}} Multiply 24 and {{{(b-2)/8}}} to get {{{3(b-2)}}}



{{{4b - 3b-3(-2)=24*4}}} Distribute.



{{{4b - 3b+6=96}}} Multiply.



{{{b+6=96}}} Combine like terms on the left side.



{{{b=96-6}}} Subtract {{{6}}} from both sides.



{{{b=90}}} Combine like terms on the right side.



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Answer:


So the solution is {{{b=90}}}