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 \(x = 6\).