Question

3x - 1 = 3x + 2

Explanation:

Step1: Subtract \(3x\) from both sides

Subtract \(3x\) from each side of the equation \(3x - 1 = 3x + 2\). We get \((3x - 3x)-1=(3x - 3x)+2\), which simplifies to \(0 - 1 = 0 + 2\).

Step2: Simplify both sides

Simplifying the left - hand side gives \(-1\), and simplifying the right - hand side gives \(2\). So we have the statement \(-1 = 2\), which is false. Since the variable \(x\) was eliminated and we got a false statement, this linear equation has no solution.

Answer:

The equation \(3x - 1 = 3x + 2\) has no solution.