Question

Solve for x= 6x+7/3x+2 = 4x+5/2x+3​

Answer 1

Answer:

The value of x is -1

Step-by-step explanation:

Given : (6x+7)/(3x+2) = (4x+5)/(2x+3)

Solution : By cross multiplication, we get

(6x+7) x (2x+3) =  (4x+5) x (4x+5)

12x² + 18x + 14x + 21 = 16x² + 20x + 20x +25

12x² + 32x + 21 = 16x² + 40x +25

taking all LHS terms to RHS

16x² - 12x² +40x-32x +25 - 21 = 0

4x² + 8x +4 = 0

Divide all terms by 4, we get

x²+2x+1 = 0

(x+1)² = 0

x+1 = 0

x= -1