12. what is the solution to the equation 3(x + 2) = 2(x + 5)?

Explanation:

Step1: Expand both sides

$$ \begin{align*} 3(x + 2)&=2(x + 5)\ 3x+6&=2x + 10 \end{align*} $$

Step2: Move terms with (x) to one side

Subtract (2x) from both sides: $$ \begin{align*} 3x-2x+6&=2x-2x + 10\ x+6&=10 \end{align*} $$

Step3: Solve for (x)

Subtract (6) from both sides: $$ \begin{align*} x+6-6&=10-6\ x&=4 \end{align*} $$

Answer:

(x = 4)