Explanation:
To find the value of x, first, the denominators are made equal by taking the L.C.M. of them.
(3x + 2)/7 + (4(x + 1))/5 = 2/3 * (2x + 1) (45x + 30 + 84x + 84)/105 = (140x + 70)/105
Since both the sides of the equation have the same denominator now, they can be cancelled out.
45x + 30 + 84x + 84 = 140x + 70
The equation can be rearranged by shifting all the x terms on one side of the equation and all the constants on the other side of the equation.
140x - 85x - 45x = 84 + 30 - 70
10x = 44
x = 4.4
Therefore, the value of x is 4.4.