how many solutions exist for the given equation? 3(x - 2) = 22 - x\nzero\none\ntwo\ninfinitely many

Answer:

B. one

Explanation:

Step1: Expand the left - hand side

$3(x - 2)=3x-6$. The equation becomes $3x - 6=22 - x$.

Step2: Add $x$ to both sides

$3x+x - 6=22 - x+x$. $4x-6 = 22$.

Step3: Add 6 to both sides

$4x-6 + 6=22+6$. $4x=28$.

Step4: Solve for $x$

$x=\frac{28}{4}=7$. Since we got a single value for $x$, there is one solution.