how many solutions exist for the given equation?\n3(x + 10) + 6 = 3(x + 12)\nzero\none\ntwo\ninfinitely many

how many solutions exist for the given equation?\n3(x + 10) + 6 = 3(x + 12)\nzero\none\ntwo\ninfinitely many

how many solutions exist for the given equation?\n3(x + 10) + 6 = 3(x + 12)\nzero\none\ntwo\ninfinitely many

Answer

Explanation:

Step1: Expand both sides

$$ \begin{align*} 3(x + 10)+6&=3(x + 12)\ 3x+30 + 6&=3x+36\ 3x+36&=3x+36 \end{align*} $$

Step2: Analyze the equation

Subtract (3x) from both sides: (36 = 36). This is a True statement for all values of (x).

Answer:

infinitely many