The solution to the equation 2.14x-12.18=-5.76 is x = 3.
Step 1: Add 12.18 to both sides of the equation.
2.14x - 12.18 = -5.76
2.14x = 12.18 - 5.76
Step 2: Divide both sides of the equation by 2.14.
2.14x = 6.42
x = 6.42 / 2.14
Step 3: Simplify the result.
x = 3
Therefore, the solution to the equation 2.14x-12.18=-5.76 is x = 3.
Detailed explanation of each step:
Step 1: Adding 12.18 to both sides of the equation is a way to isolate the variable x on the left side of the equation.
We can do this because addition is the inverse operation of subtraction, so adding 12.18 to both sides of the equation is the same as subtracting 12.18 from both sides of the equation.
Step 2: Dividing both sides of the equation by 2.14 is a way to get x by itself.
We can do this because division is the inverse operation of multiplication, so dividing both sides of the equation by 2.14 is the same as multiplying both sides of the equation by 1/2.14.
Step 3: Simplifying the result is simply dividing 6.42 by 2.14 and getting the answer 3.