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