For this case we must solve the following equation:
[tex]\frac {2} {3} (9 + 12x) = 4 (2x- \frac {3} {4})[/tex]
We apply distributive property to both sides of the equation:
[tex]\frac {2 * 9} {3} + \frac {2 * 12x} {3} = 4 * 2x- \frac {4 * 3} {4}[/tex]
We simplify:
[tex]\frac {18} {3} + \frac {24x} {3} = 8x- \frac {12} {4}[/tex]
Subtracting 8x from both sides of the equation:
[tex]6 + 8x = 8x-3\\6 = -3[/tex]
Equality is not met, there are no "x" values that make the equation true.
ANswer:
The equation has no solution