To solve the equation [tex]\(4x + 16 - x = 22 + 6\)[/tex], follow these steps:
1. Combine like terms on the left side of the equation:
[tex]\[
(4x - x) + 16 = 22 + 6
\][/tex]
Simplifies to:
[tex]\[
3x + 16 = 28
\][/tex]
2. Isolate the term containing [tex]\(x\)[/tex] by subtracting 16 from both sides of the equation:
[tex]\[
3x + 16 - 16 = 28 - 16
\][/tex]
Simplifies to:
[tex]\[
3x = 12
\][/tex]
3. Solve for [tex]\(x\)[/tex] by dividing both sides of the equation by 3:
[tex]\[
\frac{3x}{3} = \frac{12}{3}
\][/tex]
Simplifies to:
[tex]\[
x = 4
\][/tex]
Thus, the solution to the equation [tex]\(4x + 16 - x = 22 + 6\)[/tex] is:
[tex]\[
x = 4
\][/tex]
Therefore, the correct answer is:
[tex]\[
\boxed{x = 4}
\][/tex] or option A.
