x−2=−3x+14

Answer 1

To solve the equation \( x - 2 = -3x + 14 \), follow these steps:

1. Add \( 3x \) to both sides to get all terms involving \( x \) on one side: \[ x + 3x - 2 = 14 \] This simplifies to: \[ 4x - 2 = 14 \]

2. Add 2 to both sides to isolate the term with \( x \): \[ 4x = 14 + 2 \] Simplifying gives: \[ 4x = 16 \]

3. Divide both sides by 4 to solve for \( x \): \[ x = \frac{16}{4} \] Which simplifies to: \[ x = 4 \]

So the solution to the equation is \( x = 4 \).