Question

3(x + 9) - 13 = 8(x - 2) + 2(x - 6)​

Answer 1

To solve the equation 3(x + 9) - 13 = 8(x - 2) + 2(x - 6), you'll need to simplify and then solve for the variable x. Here are the steps:

1. Distribute the constants outside the parentheses to the terms inside the parentheses on both sides of the equation:

   3x + 27 - 13 = 8x - 16 + 2x - 12

2. Combine like terms on both sides of the equation:

   3x + 14 = 10x - 28

3. To isolate the variable x on one side of the equation, you can start by moving all terms containing x to one side and the constants to the other side. You can do this by subtracting 3x from both sides:

   3x - 3x + 14 = 10x - 3x - 28

   14 = 7x - 28

4. Next, add 28 to both sides to get rid of the -28 on the right side of the equation:

   14 + 28 = 7x

   42 = 7x

5. Finally, divide both sides by 7 to solve for x:

   42 / 7 = 7x / 7

   6 = x

So, the solution to the equation is:

x = 6