Solve for x . −4(2x−11)=12 (1 point)Responsesx=2x equals 2x=−4x equals negative 4x=−2x equals negative 2x=4

9 answers

To solve for x, we will use the distributive property to simplify the equation:
-4(2x - 11) = 12
-8x + 44 = 12
Next, we will subtract 44 from both sides of the equation to isolate the term with x:
-8x + 44 - 44 = 12 - 44
-8x = -32
Finally, we will divide both sides of the equation by -8 to solve for x:
-8x / -8 = -32 / -8
x = 4
Therefore, the solution is x = 4.
Solve for x . −3(−4x−3)=−27 (1 point)Responsesx=−2x equals negative 2x=−3x equals negative 3x=2x equals 2x=3x equals 3
To solve for x, we will use the distributive property to simplify the equation:
-3(-4x - 3) = -27
12x + 9 = -27
Next, we will subtract 9 from both sides of the equation to isolate the term with x:
12x + 9 - 9 = -27 - 9
12x = -36
Finally, we will divide both sides of the equation by 12 to solve for x:
12x / 12 = -36 / 12
x = -3
Therefore, the solution is x = -3.
Solve for x : 2x−4x−3=−27 .(1 point)Responsesx=−4 x equals negative 4x=12x equals 12x=4 x equals 4x=−12
To solve for x, we will combine like terms on the left side of the equation:
2x - 4x - 3 = -27
-2x - 3 = -27
Next, we will add 3 to both sides of the equation to isolate the term with x:
-2x - 3 + 3 = -27 + 3
-2x = -24
Finally, we will divide both sides of the equation by -2 to solve for x:
-2x / -2 = -24 / -2
x = 12
Therefore, the solution is x = 12.
Solve for x : −4(3x+10)−2=54 .(1 point)Responsesx=8 x equals 8x=4 x equals 4x=−4 x equals negative 4x=−8
To solve for x, we will use the distributive property to simplify the equation:
-4(3x + 10) - 2 = 54
-12x - 40 - 2 = 54
Next, we will combine like terms on the left side of the equation:
-12x - 42 = 54
Next, we will add 42 to both sides of the equation to isolate the term with x:
-12x - 42 + 42 = 54 + 42
-12x = 96
Finally, we will divide both sides of the equation by -12 to solve for x:
-12x / -12 = 96 / -12
x = -8
Therefore, the solution is x = -8.
Solve for x : 20x−5(6x+15)=−45 .(1 point)Responsesx=−2 x equals negative 2x=2 x equals 2x=−3x equals negative 3x=3
To solve for x, we will use the distributive property to simplify the equation:
20x - 5(6x + 15) = -45
20x - 30x - 75 = -45
Next, we will combine like terms on the left side of the equation:
-10x - 75 = -45
Next, we will add 75 to both sides of the equation to isolate the term with x:
-10x - 75 + 75 = -45 + 75
-10x = 30
Finally, we will divide both sides of the equation by -10 to solve for x:
-10x / -10 = 30 / -10
x = -3
Therefore, the solution is x = -3.