Answer
The solution is $x=3$
Work Step by Step
$\dfrac{3x-2}{7}=\dfrac{x+2}{5}$
Take $7$ to multiply the right side and $5$ to multiply the left side (cross multiplication):
$5(3x-2)=7(x+2)$
$15x-10=7x+14$
Take $7x$ to the left side and $10$ to the right side:
$15x-7x=14+10$
$8x=24$
Take $8$ to divide the right side:
$x=\dfrac{24}{8}$
$x=3$
