How do you solve \frac{6}{11}x+4=\frac{2}{11}+16611x+4=211+16?

1 Answer
Oct 29, 2016

6/11x+4=2/11+16611x+4=211+16

Give all the expressions in this equation the same denominator.

6/11x+44/11=2/11+176/11611x+4411=211+17611

Multiply both sides of the equation by 11...

6x+44=2+1766x+44=2+176

Add things up...

6x+44=1786x+44=178

Subtract 44 from both sides of the equation...

6x=178-446x=17844

6x=1346x=134

Divide both sides of the equation by 6...

x=134/6x=1346

Simplify...

x=67/3x=673

And if you still aren't satisfied...

x=66/3 + 1/3x=663+13

x=22+1/3x=22+13

In decimal terms...

x=22.33333333333...