Problem

Solve the equation for x:
$5 x+4-3 x-1=$

Answer

Expert–verified
Hide Steps
Answer

Final Answer: The solution to the equation is \(\boxed{-\frac{3}{2}}\).

Steps

Step 1 :The given equation is \(5x + 4 - 3x - 1 = 0\).

Step 2 :First, we simplify the equation by combining like terms. This gives us \(2x + 3 = 0\).

Step 3 :Next, we isolate x by subtracting 3 from both sides of the equation, which gives us \(2x = -3\).

Step 4 :Finally, we divide both sides of the equation by 2 to solve for x. This gives us \(x = -\frac{3}{2}\).

Step 5 :Substituting \(x = -\frac{3}{2}\) into the original equation, we find that the equation holds true.

Step 6 :Final Answer: The solution to the equation is \(\boxed{-\frac{3}{2}}\).

link_gpt