Answer:
x = - [tex]\frac{57}{22}[/tex]
Step-by-step explanation:
Given
[tex]\frac{4}{6x+3}[/tex] = [tex]\frac{7}{5x-9}[/tex] ( cross- multiply )
7(6x + 3) = 4(5x - 9) ← distribute parenthesis on both sides
42x + 21 = 20x - 36 ( subtract 20x from both sides )
22x + 21 = - 36 ( subtract 21 from both sides )
22x = - 57 ( divide both sides by 22 )
x = - [tex]\frac{57}{22}[/tex]
