Question

2x-3(2x+3)/7x+(3+4x)=7/6

Answer 1

Answer:

Hence, the required value of x is -(75/101).

Step-by-step explanation:

Given:-

[{2x - 3(2x + 3)}/{7x + (3 + 4x)}] = 7/6

To find out:-

the value of x = ?

Solution:-

Given expression,

[{2x - 3(2x + 3)}/{7x + (3 + 4x)}] = 7/6

Variable a cannot be equal to -(3/11). Since division by zero is not defined. Multiply both sides of the equation by 6(11x + 3), the least common multiple of 7x + 3+ 4x, 6.

→ 6{2x - 3(2x + 3)} = 7(11x + 3)

→ 6(2x - 6x - 9) = 7(11x + 3)

→ 6(- 4x - 9) = 7(11x + 3)

→ - 24x - 54 = 7(11x + 3)

→ - 24x - 54 = 77x + 21

→ - 24x - 54 - 77x = 21

→ - 101x - 54 = 21

→ - 101x = 21 + 54

→ - 101x = 75

→ x = 75/-101

→ x = - (75/101)

Hence, the required value of x is -(75/101).