Solve the equation.
negative 36 equals negative 6 left parenthesis 2 x minus 14 right parenthesis
(1 point)
Responses
10
10
1.8
1.8
24
24
4
To solve the equation, we need to distribute the -6 to both terms inside the parentheses:
-36 = -6(2x - 14)
Now, distribute the -6:
-36 = -12x + 84
Next, subtract 84 from both sides to isolate the variable:
-120 = -12x
Finally, divide by -12 to solve for x:
x = 10
Therefore, the correct answer is 10.
To solve the equation "negative 36 equals negative 6 times 2x minus 14", we can start by distributing the negative 6 to both terms inside the parentheses:
-36 = -6(2x - 14)
Next, we can simplify the expression inside the parentheses:
-36 = -12x + 84
To isolate the variable, we can subtract 84 from both sides of the equation:
-36 - 84 = -12x
-120 = -12x
Finally, we can solve for x by dividing both sides of the equation by -12:
x = (-120) / (-12)
Simplifying this expression, we get:
x = 10
Therefore, the solution to the equation is x = 10.