Answer:
[tex]x = - \frac{25}{3} [/tex]
Step-by-step explanation:
[tex] \frac{10}{3} = \frac{x}{( - \frac{5}{2}) } [/tex]
i) simplify the complex fraction
[tex] \frac{10}{3} = - \frac{2x}{5} [/tex]
ii) simplify the equation using cross multiplication
[tex]5(10) = - 2x(3)[/tex]
[tex]50 = - 6x[/tex]
iii) swap the sides of the equation
[tex] - 6x = 50[/tex]
iv) divide both sides of the equation by -6
[tex] \frac{ - 6x}{ - 6} = \frac{50}{ - 6} [/tex]
[tex]x = - \frac{50}{6} [/tex]
v) simplify the fraction
[tex]x = - \frac{25}{3} [/tex]
