Question

100 points!!!

Solve the following equation:

8x + 3 = 2x + 9

Answer 1

`\Huge \boxed{\boxed{ x = 1}}`

Explanation:

Isolate the variable on one side of the equation before trying to solve it. It means that you should only have constants (numbers) on the other side of the equal sign and the variable alone on the one side.

To do this, you can add, subtract, multiply, divide, or use any other operation to both sides of the equation as long as you do the same thing on both sides.

Your final step depends on the equation and how you've simplified it. In general, you want to figure out how you arrived at the final equation by working backwards from it. You'll isolate the variable in the last action you took.

-------------------------------------------------------------------------------------------------------------

Solution

Step1: Subtract
`\bold{2x}` from both sides

• 
  `8x + 3 = 2x + 9`

• 
  `8x - 2x + 3 = 2x - 2x + 9`
• 
  `6x + 3 = 9`

Step 2: Subtract 3 from both sides

• 
  `6x + 3 - 3 = 9 - 3`

• 
  `6x = 6`

Step 3: Divide both sides of the equation by 6

• 
  `(6x)/(6) = (6)/(6)`

• 
  `x = 1`

So the solution to the equation
`\bold{8x + 3 = 2x + 9}` is
`\bold{x = 1}`.

-------------------------------------------------------------------------------------------------------------