Sure, let's solve the equation step by step:
The original equation is:
[tex]\[
7x - 3(x - 6) = 30
\][/tex]
First, distribute the [tex]\(-3\)[/tex] through the parentheses:
[tex]\[
7x - 3x + 18 = 30
\][/tex]
Now, combine the [tex]\(x\)[/tex] terms on the left side:
[tex]\[
4x + 18 = 30
\][/tex]
Next, subtract 18 from both sides to isolate the term with [tex]\(x\)[/tex]:
[tex]\[
4x = 30 - 18
\][/tex]
Simplify the right side:
[tex]\[
4x = 12
\][/tex]
Finally, divide both sides by 4 to solve for [tex]\(x\)[/tex]:
[tex]\[
x = \frac{12}{4}
\][/tex]
[tex]\[
x = 3
\][/tex]
So the solution to the equation [tex]\(7x - 3(x - 6) = 30\)[/tex] is:
[tex]\[
x = 3
\][/tex]
Therefore, the correct answer is [tex]\( \boxed{x = 3} \)[/tex].
