Question

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 \( x = 4 \).