Question

What is the value of x in the given equation?

(3x + 1)16 + (2x − 3)7 = (x + 3)8 + (3x − 1)14
2
4
3
5​

Answer 1

Answer:

Step-by-step explanation:

3x+1/16+2x-3/7 = x+3/8+3x-1/14

3x+1/16-x+3/8 = 3x-1/14+2x-3/7

By taking lcm on both sides

(3x+1-(x+3)2)/16 = (3x-1+2(2x-3))/14

(3x+1-2x-6)/16 = (3x-1+4x-6)/14

(x-5)/16 = (7x-7)/14

By cross multiplying

14(x-5) = 16 (7x-7)

14x-70 = 112x-112

14x-112x = -112+70

-98x = -42

x = -42/-98

x = 3/7