2. \( 7+2(x-6)=-3+2(x-1) \)

To solve the equation, start by distributing the \(2\) on both sides: \( 7 + 2x - 12 = -3 + 2x - 2 \). Now, simplify both sides: On the left side: \( 7 - 12 = -5 \), so you have \( 2x - 5 \). On the right side: \(-3 - 2 = -5\), so it simplifies to \(2x - 5\). Now the equation looks like this: \( 2x - 5 = 2x - 5 \). Since both sides are equal, this indicates that the equation is an identity, meaning it holds true for all values of \( x \). Thus, the solution set is all real numbers, or \( x \in \mathbb{R} \).