Solve the equation. Then state whether it is an identity, conditional, or inconsistent equation. 
$-2\(\left\)(5-3x\(\right\))+x=7x-10$

• A. Identity 
• B. Conditional 
• C. Inconsistent 

Answer: (A)

Verified step by step guidance

1. Distribute the -2 across the terms inside the parentheses: -2(5) + (-2)(-3x) + x = 7x - 10.
2. Simplify the left side: -10 + 6x + x = 7x - 10.
3. Combine like terms on the left side: -10 + 7x = 7x - 10.
4. Subtract 7x from both sides to isolate the constant terms: -10 = -10.
5. Since the equation simplifies to a true statement without any variables, it is an identity, meaning it is true for all values of x.