To solve the equation [tex]\(6(x - 3) + 7 = -5\)[/tex], let's go through the steps methodically.
1. Distribute the 6 in the expression:
[tex]\[
6(x - 3) = 6x - 18
\][/tex]
So the equation becomes:
[tex]\[
6x - 18 + 7 = -5
\][/tex]
2. Combine like terms on the left side:
Add [tex]\(-18\)[/tex] and [tex]\(7\)[/tex]:
[tex]\[
6x - 11 = -5
\][/tex]
3. Isolate the term with [tex]\(x\)[/tex]:
To isolate [tex]\(6x\)[/tex], add [tex]\(11\)[/tex] to both sides of the equation:
[tex]\[
6x - 11 + 11 = -5 + 11
\][/tex]
This simplifies to:
[tex]\[
6x = 6
\][/tex]
4. Solve for [tex]\(x\)[/tex]:
To find [tex]\(x\)[/tex], divide both sides by 6:
[tex]\[
x = \frac{6}{6} = 1
\][/tex]
So, the solution to the equation [tex]\(6(x - 3) + 7 = -5\)[/tex] is [tex]\(x = 1\)[/tex].
Therefore, the correct choice is:
A. [tex]\(x = 1\)[/tex]
