To solve the equation [tex]\(6x + 9 = 3\)[/tex] and find the value of [tex]\(4x\)[/tex], we will follow these steps:
1. Isolate the term involving [tex]\(x\)[/tex] on one side of the equation.
We start with the given equation:
[tex]\[
6x + 9 = 3
\][/tex]
To isolate [tex]\(6x\)[/tex], subtract 9 from both sides:
[tex]\[
6x + 9 - 9 = 3 - 9
\][/tex]
Simplifying this, we get:
[tex]\[
6x = -6
\][/tex]
2. Solve for [tex]\(x\)[/tex].
To find [tex]\(x\)[/tex], divide both sides of the equation by 6:
[tex]\[
x = \frac{-6}{6} = -1
\][/tex]
3. Calculate [tex]\(4x\)[/tex].
Substitute [tex]\(x = -1\)[/tex] into the expression [tex]\(4x\)[/tex]:
[tex]\[
4x = 4(-1) = -4
\][/tex]
Therefore, the value of [tex]\(4x\)[/tex] is [tex]\(\boxed{-4}\)[/tex].
