$$\frac { 5 x - 2 } { 3 x + 1 } = \frac { 5 x - 1 } { 3 x + 2 }$$
Solve for x
$x = \frac{3}{2} = 1\frac{1}{2} = 1.5$
Steps for Solving Linear Equation
Variable $x$ cannot be equal to any of the values $-\frac{2}{3},-\frac{1}{3}$ since division by zero is not defined. Multiply both sides of the equation by $\left(3x+1\right)\left(3x+2\right)$, the least common multiple of $3x+1,3x+2$.