To solve this equation, we need to find a common denominator for the two fractions on the right side of the equation.

The common denominator for 2 and 7 is 14, so rewrite the equation with this common denominator:

x + 3/2 = 3x - 2/7

Now, multiply both sides of the equation by 14 to get rid of the fractions:

14(x + 3/2) = 14(3x - 2/7)

Expanding both sides:

14x + 21 = 42x - 4

Now, collect like terms and solve for x:

14x - 42x = -4 - 21
-28x = -25
x = -25 / -28
x = 25/28

Therefore, the solution to the equation is x = 25/28.