Question

-2 + x = 4x + 1

Explanation:

Step1: Subtract \(x\) from both sides

To get all \(x\)-terms on one side, we subtract \(x\) from both sides of the equation \(-2 + x = 4x + 1\). This gives \(-2 + x - x = 4x - x + 1\), which simplifies to \(-2 = 3x + 1\).

Step2: Subtract 1 from both sides

Next, we subtract 1 from both sides to isolate the term with \(x\). So, \(-2 - 1 = 3x + 1 - 1\), which simplifies to \(-3 = 3x\).

Step3: Divide by 3

Finally, we divide both sides by 3 to solve for \(x\). \(\frac{-3}{3}=\frac{3x}{3}\), which gives \(x = -1\).

Answer:

\(x = -1\)