Consider the equation 2.8 - 3x = 12.1 - 6x solve for x and explain how to prove that your answer is correct

Answer 1

To solve for x in the equation 2.8 - 3x = 12.1 - 6x, we need to simplify the equation and isolate the variable x on one side.

First, combine the like terms on both sides of the equation:
2.8 - 12.1 = 3x - 6x

-9.3 = -3x

Next, divide both sides of the equation by -3 to solve for x:
-9.3 / -3 = x

3.1 = x

Therefore, the value of x in the equation is x = 3.1.

To prove that our answer is correct, we need to substitute the value of x back into the original equation and check if both sides are equal.

Let's substitute x = 3.1 into the equation 2.8 - 3x = 12.1 - 6x:

2.8 - 3(3.1) = 12.1 - 6(3.1)

2.8 - 9.3 = 12.1 - 18.6

-6.5 = -6.5

Both sides of the equation are equal, confirming that our solution x = 3.1 is correct.