For this case we have the following equation:
[tex]37x + \frac {1} {2} - (x + \frac {1} {4}) = 9 (4x-7) +5[/tex]
We apply distributive property considering that:
[tex]- * + = -\\37x + \frac {1} {2} -x- \frac {1} {4} = 36x-63 + 5[/tex]
We add similar terms taking into account that:
Equal signs are added and the same sign is placed
Different signs are subtracted and the major sign is placed.
[tex]36x + \frac {1} {4} = 36x-58\\\frac {1} {4} = - 58[/tex]
Equality is not met, there are no "x" values that meet equality.
Answer:
The equation has no solution