$$\frac { 3 x - 12 } { 4 x ^ { 2 } - 9 } = \frac { 3 x } { 4 x ^ { 2 } - 16 x + 15 }$$
Solve for x
$x = \frac{5}{4} = 1\frac{1}{4} = 1.25$
Steps for Solving Linear Equation
Variable $x$ cannot be equal to any of the values $-\frac{3}{2},\frac{3}{2},\frac{5}{2}$ since division by zero is not defined. Multiply both sides of the equation by $\left(2x-5\right)\left(2x-3\right)\left(2x+3\right)$, the least common multiple of $4x^{2}-9,4x^{2}-16x+15$.