Solve the equations below for $x$, if possible. Be sure to check your solution.

1. $\frac { 3 x - 1 } { 4 } = - \frac { 5 } { 11 }$ 

   Hint (a):

   Multiply both sides of the equation by the lowest common denominator to remove the fraction.

2. $6−5(2x−3)=4x+7$ 

   Hint (b):

   Start by distributing the negative $5$.

3. $\frac { 3 x } { 4 } + 2 = 4 x - 1$ 

   Hint (c):

   Multiply both sides of the equation by the lowest common denominator to remove the fractions.