$$\frac { 12 x ^ { 2 } + 18 x + 42 } { 18 x ^ { 2 } + 12 x + 58 } = \frac { 2 x + 3 } { 3 x + 2 }$$
Solve for x
$x=9$
Steps for Solving Linear Equation
Variable $x$ cannot be equal to $-\frac{2}{3}$ since division by zero is not defined. Multiply both sides of the equation by $2\left(3x+2\right)\left(9x^{2}+6x+29\right)$, the least common multiple of $18x^{2}+12x+58,3x+2$.