Question

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

Answer 1

`6/11x+4=2/11+16`

Give all the expressions in this equation the same denominator.

`6/11x+44/11=2/11+176/11`

Multiply both sides of the equation by 11...

`6x+44=2+176`

Add things up...

`6x+44=178`

Subtract 44 from both sides of the equation...

`6x=178-44`

`6x=134`

Divide both sides of the equation by 6...

`x=134/6`

Simplify...

`x=67/3`

And if you still aren't satisfied...

`x=66/3 + 1/3`

`x=22+1/3`

In decimal terms...

`x=22.33333333333...`