Find the value of x.

Answer:
[tex]x = \frac{15}{8} [/tex]
[tex] \\ [/tex]
Step-by-step explanation:
[tex] \frac{10}{14} = \frac{x}{2x - 3 + x} \\ \frac{10}{14} = \frac{x}{3x - 3} \\ 10(3x - 3) = 14x \\ 30x - 30 = 14x \\ 30x - 14x = 30 \\ 16x = 30 \\ x = \frac{30}{16} \\ x = \frac{15}{8} [/tex]