Question

question
solve for x:
-2x + 6 = -x + 3

Explanation:

Step1: Add \(x\) to both sides

To get all \(x\)-terms on one side, we add \(x\) to both sides of the equation \(-2x + 6=-x + 3\). This gives \(-2x+x + 6=-x+x + 3\), which simplifies to \(-x + 6=3\).

Step2: Subtract 6 from both sides

Next, we subtract 6 from both sides to isolate the term with \(x\). So, \(-x+6 - 6=3 - 6\), which simplifies to \(-x=-3\).

Step3: Multiply both sides by -1

To solve for \(x\), we multiply both sides of the equation \(-x=-3\) by \(-1\). This gives \(x = 3\).

Answer:

\(x = 3\)