Answer:
The value of x is 10.
Step-by-step explanation:
BD =CD
Which means
5x - 10 = 3x + 10
Let's solve.
[tex]5x - 10 = 3x + 10 \\ \frac{ - 3x \: \: \: \: \: = - 3x \: \: \: \: \: }{2x - 10 = 10} \\ \\ 2x - 10 = 10 \\ \frac{ \: \: \: \: \: \: \: \: \: + 10 = + 10}{2x = 20} \\ \\ \frac{2x}{2} = \frac{20}{2} \\ \\ x = 10[/tex]
Therefore, x = 10.
