Step-by-step explanation:
Given:
[tex] \frac{2x}{3} + 5 = \frac{11x}{15} + 14[/tex]
Multiply both sides of the equation by the common denominator :
[tex] \frac{2x \times 15}{3} + 5 \times 15 = \frac{11x \times 15}{15} + 14 \times 15[/tex]
After doing maximum cancellations,
[tex] = > 10x + 5 \times 15 = 11x + 14 \times 15[/tex]
[tex] = > 10x + 75 = 11x + 210[/tex]
[tex] = > 10x - 11x = 210 - 75[/tex]
[tex] = > - x = 135[/tex]
[tex] = > x = - 135[/tex]
Hence, value of x is -135
