Step 1 :The given equation is \(-7x + 5x - 3 = 3x\).
Step 2 :Combine like terms on both sides of the equation to simplify it. This gives us \(-2x - 3 = 3x\).
Step 3 :To isolate x, we add 2x to both sides of the equation, which gives us \(-3 = 5x\).
Step 4 :Finally, we divide both sides of the equation by 5 to solve for x. This gives us the final answer: \(\boxed{-\frac{3}{5}}\).