When solving the equation −12(x+10)=−3, identify the operation that should be done first
divide by -2
subtract 10
multiply by -2
add 10
The operation that should be done first when solving the equation −12(x+10)=−3 is to divide by -12.
When solving the equation -12(x+10)=-3, the operation that should be done first is to distribute the -12 to the terms inside the parentheses. This involves multiplying -12 by both x and 10.
To solve the equation −12(x+10)=−3, let's break down the steps to find the solution.
Step 1: Distribute the −12 to the terms inside the parentheses.
By applying the distributive property, we multiply -12 by each term inside the parentheses:
−12 * x = -12x
−12 * 10 = -120
The equation becomes:
-12x - 120 = -3
Step 2: Simplify the equation by combining like terms.
Subtract -120 from both sides of the equation:
-12x - 120 + 120 = -3 + 120
-12x = 117
Step 3: To find the value of x, we need to isolate it.
To isolate x, we need to perform the reverse operation of multiplication by -12, which is division by -12.
Therefore, the next operation to be done is to divide both sides of the equation by -12.
By dividing both sides of the equation by -12, we get:
(-12x) / -12 = 117 / -12
Simplifying further:
x = -9.75
So, the operation that should be done first in this equation is to divide both sides by -12.