Question

The equation, 6x+12=8x-12 has one solution. Solve the equation and show and describe all the steps to show that the solution is of the form x=a.​

Answer 1

Final Answer:
`x = 12`

Steps/Reasons/Explanation:

Question: The equation,
`6x + 12 = 8x - 12` has one solution. Solve the equation and show and describe all the steps to show that the solution is of the form
`x = a`.​

Step 1: Subtract
`6x` from both sides.

`12 = 8x - 12 - 6x`

Step 2: Simplify
`8x - 12 - 6x` to
`2x - 12`

`12 = 2x - 12`

Step 3: Add
`12` to both sides.

`12 + 12 = 2x`

Step 4: Simplify
`12 + 12` to 24.

`24 = 2x`

Step 5: Divide both sides by
`2`.

`(24)/(2) = x`

Step 6: Simplify
`(24)/(2)` to
`12`.

`12 = x`

Step 7: Switch sides.

`x = 12`

~I hope I helped you :)~