−4(2x−11)=12
(1 point)
Responses
x=4
x equals 4
x=−4
x equals negative 4
x=−2
x equals negative 2
x=2
x equals 2
To solve the equation −4(2x − 11) = 12, we can start by distributing the -4 to the terms inside the parentheses:
-4 * 2x = -8x
-4 * -11 = 44
So the equation becomes: -8x + 44 = 12
Next, we can isolate the variable by subtracting 44 from both sides of the equation:
-8x + 44 - 44 = 12 - 44
-8x = -32
Finally, divide both sides of the equation by -8 to solve for x:
-8x / -8 = -32 / -8
x = 4
Therefore, x equals 4.
−3(−4x−3)=−27
(1 point)
Responses
x=3
x equals 3
x=2
x equals 2
x=−3
x equals negative 3
x=−2
To solve the equation −3(−4x − 3) = −27, we can start by distributing the -3 to the terms inside the parentheses:
-3 * -4x = 12x
-3 * -3 = 9
So the equation becomes: 12x + 9 = -27
Next, we can isolate the variable by subtracting 9 from both sides of the equation:
12x + 9 - 9 = -27 - 9
12x = -36
Finally, divide both sides of the equation by 12 to solve for x:
12x / 12 = -36 / 12
x = -3
Therefore, x equals -3.
Solve for x
: 2x−4x−3=−27
.(1 point)
Responses
x=−4
x equals negative 4
x=4
x equals 4
x=12
x equals 12
x=−12
To solve the equation 2x − 4x − 3 = −27, we can start by combining like terms:
-2x - 3 = -27
Next, we can isolate the variable by adding 3 to both sides of the equation:
-2x - 3 + 3 = -27 + 3
-2x = -24
Finally, divide both sides of the equation by -2 to solve for x:
-2x / -2 = -24 / -2
x = 12
Therefore, x equals 12.
Solve for x
: −4(3x+10)−2=54
.(1 point)
Responses
x=−4
x equals negative 4
x=4
x equals 4
x=8
x equals 8
x=−8
To solve the equation −4(3x + 10) − 2 = 54, we can start by distributing the -4 to the terms inside the parentheses:
-4 * 3x = -12x
-4 * 10 = -40
So the equation becomes: -12x - 40 - 2 = 54
Next, we can combine like terms on the left side of the equation:
-12x - 42 = 54
Next, we can isolate the variable by adding 42 to both sides of the equation:
-12x - 42 + 42 = 54 + 42
-12x = 96
Finally, divide both sides of the equation by -12 to solve for x:
-12x / -12 = 96 / -12
x = -8
Therefore, x equals -8.
Solve for x
: 20x−5(6x+15)=−45
.(1 point)
Responses
x=−3
x equals negative 3
x=3
x equals 3
x=2
x equals 2
x=−2
To solve the equation 20x − 5(6x + 15) = -45, we can start by distributing the -5 to the terms inside the parentheses:
-5 * 6x = -30x
-5 * 15 = -75
So the equation becomes: 20x - 30x - 75 = -45
Next, we can combine like terms on the left side of the equation:
(20x - 30x) - 75 = -45
Simplifying further:
-10x - 75 = -45
Next, we can isolate the variable by adding 75 to both sides of the equation:
-10x - 75 + 75 = -45 + 75
-10x = 30
Finally, divide both sides of the equation by -10 to solve for x:
-10x / -10 = 30 / -10
x = -3
Therefore, x equals -3.
To solve the equation -4(2x - 11) = 12, we can follow these steps:
1. Distribute -4 to the terms inside the parentheses: -4 * 2x = -8x and -4 * -11 = 44.
So, the equation becomes -8x + 44 = 12.
2. Next, subtract 44 from both sides of the equation to isolate the term with x: -8x + 44 - 44 = 12 - 44.
Simplifying, we get -8x = -32.
3. To find the value of x, we need to isolate x by dividing both sides of the equation by -8: (-8x) / -8 = (-32) / -8.
This simplifies to x = 4.
Therefore, the solution to the equation -4(2x - 11) = 12 is x = 4.