Question

Which equation is equivalent to

Answer 1

For this case we place the terms with "x" on the left side of the equation, and the terms without "x" on the right side:

`\frac {2} {3} x + \frac {5} {12} x = \frac {1} {4} + \frac {5} {6}`

We add similar terms:

`\frac {24 + 15} {36} x = \frac {6 + 20} {24}\\\frac {39} {36} x = \frac {26} {24}`

We simplify both sides:

`\frac {13} {12} x = \frac {13} {12}`

Dividing by
`\frac {13} {12}` on both sides of the equation:
`x = 1`

Answer:

`x = 1`

Answer 2

Simplifying the equation:

`(2)/(3) x - (5)/(6) = -(5)/(12) x + (1)/(4)`

Grouping like terms:

`(2)/(3) x + (5)/(12) x= (1)/(4) + (5)/(6)`

⇒
`(39)/(36) x=(26)/(24)`

Solving for 'x', we have:

⇒
`x=(26)/(24)(36)/(39)=1`