Question

Which equation is equivalent to

Answer 1

Answer:

Simplifying the equation:

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

Grouping like terms:

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

⇒ $\frac{39}{36} x=\frac{26}{24}$

Solving for 'x', we have:

⇒ $x=\frac{26}{24}\frac{36}{39}=1$

Answer 2

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:

$x = 1$