Question

find x:
3x - 5/6 = 7x+4/4

Answer 1

This is an equation where similar terms need to be combined.

To simplify, look for obvious terms to reduce. Any number divided by itself is 1 so 4/4 = 1.

So you now have 3x - 5/6 = 7x +1


Combine like terms, lets keep x positive so move 3x to the Right Hand Side where 7x is and move 1 to the Left Hand Side.

The equation is now:

-5/6 - 1 = 7x - 3x

Finishing the problem: and using a common denominator on the Left Hand Side

-5/6 - 6/6 = 4x

-11/6 = 4x

Divide by 4:

-11/24 = x