how many solutions exist for the given equation? 3(x - 2)=22 - x zero one two infinitely many

Explanation:

Step1: Expand the left - hand side

$3(x - 2)=3x-6$, so the equation becomes $3x - 6=22 - x$.

Step2: Add $x$ to both sides

$3x+x - 6=22 - x+x$, which simplifies to $4x - 6=22$.

Step3: Add 6 to both sides

$4x-6 + 6=22 + 6$, resulting in $4x=28$.

Step4: Divide both sides by 4

$\frac{4x}{4}=\frac{28}{4}$, so $x = 7$.

Answer:

B. one