To solve the equation [tex]\(-11x - 30 + 6x = 0\)[/tex] for [tex]\(x\)[/tex], follow these steps:
1. Combine like terms:
[tex]\[
-11x + 6x - 30 = 0
\][/tex]
Combine the [tex]\(x\)[/tex] terms:
[tex]\[
-5x - 30 = 0
\][/tex]
2. Isolate the [tex]\(x\)[/tex] term:
To do this, first move the constant term (in this case, [tex]\(-30\)[/tex]) to the other side of the equation. You achieve this by adding 30 to both sides:
[tex]\[
-5x - 30 + 30 = 0 + 30
\][/tex]
Simplifies to:
[tex]\[
-5x = 30
\][/tex]
3. Solve for [tex]\(x\)[/tex]:
Divide both sides by [tex]\(-5\)[/tex]:
[tex]\[
x = \frac{30}{-5}
\][/tex]
Simplifies to:
[tex]\[
x = -6
\][/tex]
Therefore, the solution to the equation [tex]\(-11x - 30 + 6x = 0\)[/tex] is [tex]\(x = -6\)[/tex].
So, the correct answer is:
B. [tex]\(x = -6\)[/tex]
