point(s) possil Solve the equation below and check the solution. \[ 3 x+x-5 x=13 \] The solution set is \( \square \) (Type an integer or a simplified fraction.)

To solve the equation, first combine like terms on the left side: \[ 3x + x - 5x = 13 \] This simplifies to: \[ (3 + 1 - 5)x = 13 \] which gives: \[ -1x = 13 \] Now, multiply both sides by -1 to solve for \(x\): \[ x = -13 \] Now, let’s check the solution by substituting \(x = -13\) back into the original equation: \[ 3(-13) + (-13) - 5(-13) = 13 \] Calculating the left side: \[ -39 - 13 + 65 = 13 \] This simplifies to: \[ -39 - 13 + 65 = 13 \implies 13 = 13 \] The solution checks out. The solution set is \( \{-13\} \)