b) \( 2 x-5=3 x+3 \)

To solve the equation \( 2x - 5 = 3x + 3 \), we can start by isolating the variable \( x \). First, let's get all the \( x \) terms on one side and the constant terms on the other. We can subtract \( 2x \) from both sides, resulting in: \[ -5 = x + 3 \] Next, subtract 3 from both sides to solve for \( x \): \[ -5 - 3 = x \] \[ -8 = x \] So, the solution is \( x = -8 \). Here's a tip: it's always helpful to check your solution by substituting \( x = -8 \) back into the original equation to ensure both sides equal!