Which of the following should be done to both sides of the equation −6x=48 to solve the value of x ?(1 point)
Responses
divide by 6
divide by 6
add 6
add 6
multiply by −6
multiply by negative 6
divide by −6
divide by −6
To solve for the value of x in the equation -6x=48, you should divide both sides of the equation by -6.
To solve for the value of x in the equation -6x=48, you need to perform the same operation on both sides of the equation to maintain the equality.
Option 1: Divide by 6
Dividing both sides of the equation by 6 will give you:
-6x / 6 = 48 / 6
Simplifying this gives you:
-x = 8
To isolate x, you can multiply both sides by -1:
-x * -1 = 8 * -1
This results in:
x = -8
Option 2: Add 6
Adding 6 to both sides of the equation will yield:
-6x + 6 = 48 + 6
Simplifying this gives you:
-6x + 6 = 54
To isolate x, you can subtract 6 from both sides:
-6x + 6 - 6 = 54 - 6
This results in:
-6x = 48
Now, this equation can be solved using the steps from Option 1.
Option 3: Multiply by -6
Multiplying both sides of the equation by -6 will give you:
-6 * -6x = -6 * 48
Simplifying this gives you:
36x = -288
To isolate x, you can divide both sides by 36:
36x / 36 = -288 / 36
This results in:
x = -8
Option 4: Divide by -6
Dividing both sides of the equation by -6 will yield:
-6x / -6 = 48 / -6
Simplifying this gives you:
x = -8
So, to solve the value of x in the equation -6x = 48, you can either divide both sides by 6, add 6 to both sides, multiply both sides by -6, or divide both sides by -6. The result in each case is x = -8.