Solve Equations with Variables on Both Sides Quick Check%0D%0A3 of 53 of 5 Items%0D%0A%0D%0AQuestion%0D%0ASolve for x: 3x−3=6x+18.(1 point)%0D%0AResponses%0D%0A%0D%0Ax=−6%0D%0A x equals negative 6%0D%0A%0D%0Ax=2%0D%0A x equals 2%0D%0A%0D%0Ax=−7%0D%0Ax equals negative 7%0D%0A%0D%0Ax=9
To solve the equation 3x - 3 = 6x + 18, you need to get all the variables on one side of the equation.
First, subtract 3x from both sides to move all the x terms to the left side:
-3x - 3 = 6x + 18
Next, add 3 to both sides to isolate the constant terms on the right side:
-3 = 6x + 18 + 3
Simplifying further:
-3 = 6x + 21
Now, subtract 21 from both sides:
-3 - 21 = 6x + 21 - 21
-24 = 6x
Finally, divide both sides by 6:
-24/6 = 6x/6
-4 = x
Therefore, x = -4.
None of the given options match this solution, so the correct answer is not provided.