Question

-2x + x = 6

Explanation:

Step1: Combine like terms

On the left - hand side of the equation \(-2x + x\), we can combine the \(x\) terms. Since \(-2x+x=(-2 + 1)x=-x\), the equation becomes \(-x = 6\).

Step2: Solve for \(x\)

To solve for \(x\), we multiply both sides of the equation \(-x = 6\) by \(- 1\). When we multiply both sides of an equation by the same non - zero number, the equation remains true. So, \((-1)\times(-x)=(-1)\times6\), which gives \(x=-6\).

Answer:

\(x = - 6\)