What is the solution to this equation?

[tex]\[ 4x + 16 - x = 22 + 6 \][/tex]

A. [tex]\( x = 4 \)[/tex]
B. [tex]\( x = 3 \)[/tex]
C. [tex]\( x = 11 \)[/tex]
D. [tex]\( x = 2 \)[/tex]



Answer :

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.