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 $2$.

$\frac{24}{2} = x$

Step 6: Simplify $\frac{24}{2}$ to $12$.

$12 = x$

Step 7: Switch sides.

$x = 12$

~I hope I helped you :)~