Simplifying
x + 6 = 3x + -14
Reorder the terms:
6 + x = 3x + -14
Reorder the terms:
6 + x = -14 + 3x
Solving
6 + x = -14 + 3x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x' to each side of the equation.
6 + x + -3x = -14 + 3x + -3x
Combine like terms: x + -3x = -2x
6 + -2x = -14 + 3x + -3x
Combine like terms: 3x + -3x = 0
6 + -2x = -14 + 0
6 + -2x = -14
Add '-6' to each side of the equation.
6 + -6 + -2x = -14 + -6
Combine like terms: 6 + -6 = 0
0 + -2x = -14 + -6
-2x = -14 + -6
Combine like terms: -14 + -6 = -20
-2x = -20
Divide each side by '-2'.
x = 10
Simplifying
x = 10
There are

ways of pairing up any 2 members from the pool of
contestants. Note that

so that

Answer:
A, 
Step-by-step explanation:
a^2 + b^2 = c^2
8^2 + b^2 = 9^2
64 + b^2 = 81
b^2 = 17
b = 
Answer: None of the above are correct.
Step-by-step explanation:
Given function: 
We know that the value of tan x =0 at x=0.
Also, 


Hence, the only option is correct is "None of the above are correct".
Step-by-step explanation:
1. 3x+x-2x+8=3x+x
x-2x+8=x
x+8=x+2x
8=2x
8÷2=4
x=4
2. 2(2x+4)-2x=x+18
8+4x-2x=x+18
8+2x=x+18
2x=x+10
x=10
3. 2(x+3)+3x
2(5+3)+15
16+15
31
4. 3(2x)-3x+4=2x+5
6x-3x+4=2x+5
3x+4=2x+5
3x-2x+4=5
x=1
5. 3x+2x+x=x+6
6x=x+6
5x=6
x=6/5
6. 2(x+4)+x=16
2x+8+x=16
3x+8=16
3x=8
x=8/3
Hope I calculated it right you can check it in calculator