Question

-4x - 10 = 2x + 14

Explanation:

Step1: Add \(4x\) to both sides

To get all \(x\)-terms on one side, add \(4x\) to both sides of the equation \(-4x - 10 = 2x + 14\). This gives \(-4x - 10 + 4x = 2x + 14 + 4x\), which simplifies to \(-10 = 6x + 14\).

Step2: Subtract 14 from both sides

To isolate the term with \(x\), subtract 14 from both sides. So, \(-10 - 14 = 6x + 14 - 14\), which simplifies to \(-24 = 6x\).

Step3: Divide by 6

To solve for \(x\), divide both sides by 6. So, \(\frac{-24}{6}=\frac{6x}{6}\), which gives \(x = -4\).

Answer:

\(x = -4\)