Final answer:
The equation −4x−8−7x = −9+5−11x simplifies to 0 = 4, which is an inconsistent equation because it has no solution.
Step-by-step explanation:
To determine whether the equation given (−4x−8−7x = −9+5−11x) is an identity, a conditional equation, or an inconsistent equation, we first simplify both sides of the equation. Combining like terms, we have:
-4x - 7x + 11x = -9 + 5 + 8
After simplification, the equation becomes:
0x = 4, which simplifies further to 0 = 4.
Since 0 does not equal 4, the equation is inconsistent, meaning that there is no solution and the equation is never true no matter what value x takes.
To eliminate terms wherever possible and simplify the algebra is an important step in solving equations. After simplification, it is essential to check the answer to see if it is reasonable which, in this case, led to the conclusion that the equation is inconsistent.