Question

5x-10=3x+2

Answer 1

To solve the equation \(5x - 10 = 3x + 2\), follow these steps:

1. **Isolate the variable \(x\)** on one side. Start by subtracting \(3x\) from both sides:

\[
5x - 3x - 10 = 2
\]

This simplifies to:

\[
2x - 10 = 2
\]

2. **Next, add 10 to both sides** to eliminate the constant term on the left side:

\[
2x - 10 + 10 = 2 + 10
\]

This simplifies to:

\[
2x = 12
\]

3. **Now, divide both sides by 2** to solve for \(x\):

\[
x = \frac{12}{2} = 6
\]

Thus, the solution is \(x = 6\).