3x+5x+2=0

To solve the equation \(3x + 5x + 2 = 0\), first combine the like terms. 1. Combine \(3x\) and \(5x\): \[ 8x + 2 = 0 \] 2. Next, isolate the term with \(x\) by subtracting \(2\) from both sides: \[ 8x = -2 \] 3. Now, divide both sides by \(8\) to solve for \(x\): \[ x = -\frac{2}{8} \] Simplifying \(-\frac{2}{8}\) gives: \[ x = -\frac{1}{4} \] Thus, the solution to the equation \(3x + 5x + 2 = 0\) is: \[ x = -\frac{1}{4} \]