Question

Solve for x. 

−4(2x−11)=12 (1 point)

Answer 1

Solve for x.-3(-4x-3)=-27 (1 point)

Answer 2

Solve for x. 

2x-4x-3=-27 (1 point)

Answer 3

solve for x
-4 (3x+10) -2=54

Answer 4

solve for x
20x-5 (6x+15)= -45

Answer 5

To solve the equation \(-4(2x - 11) = 12\), follow these steps:

1. Distribute the \(-4\) on the left side:
\[
-4 \cdot 2x + (-4) \cdot (-11) = 12
\]
which simplifies to:
\[
-8x + 44 = 12
\]

2. Next, isolate the term with \(x\) by subtracting \(44\) from both sides:
\[
-8x + 44 - 44 = 12 - 44
\]
This simplifies to:
\[
-8x = -32
\]

3. Now, divide both sides by \(-8\):
\[
x = \frac{-32}{-8}
\]
which simplifies to:
\[
x = 4
\]

So, the solution is:
\[
\boxed{4}
\]

Answer 6

To solve the equation \(-3(-4x - 3) = -27\), follow these steps:

1. Distribute the \(-3\) on the left side:
\[
-3 \cdot (-4x) + (-3) \cdot (-3) = -27
\]
which simplifies to:
\[
12x + 9 = -27
\]

2. Next, isolate the term with \(x\) by subtracting \(9\) from both sides:
\[
12x + 9 - 9 = -27 - 9
\]
This simplifies to:
\[
12x = -36
\]

3. Now, divide both sides by \(12\):
\[
x = \frac{-36}{12}
\]
which simplifies to:
\[
x = -3
\]

So, the solution is:
\[
\boxed{-3}
\]

Answer 7

To solve the equation \(2x - 4x - 3 = -27\), follow these steps:

1. Combine like terms on the left side:
\[
(2x - 4x) - 3 = -27
\]
This simplifies to:
\[
-2x - 3 = -27
\]

2. Next, isolate the term with \(x\) by adding \(3\) to both sides:
\[
-2x - 3 + 3 = -27 + 3
\]
This simplifies to:
\[
-2x = -24
\]

3. Now, divide both sides by \(-2\):
\[
x = \frac{-24}{-2}
\]
which simplifies to:
\[
x = 12
\]

So, the solution is:
\[
\boxed{12}
\]

Answer 8

To solve the equation \(-4(3x + 10) - 2 = 54\), follow these steps:

1. Start by distributing \(-4\) on the left side:
\[
-4 \cdot 3x - 4 \cdot 10 - 2 = 54
\]
This simplifies to:
\[
-12x - 40 - 2 = 54
\]

2. Combine the constants on the left side:
\[
-12x - 42 = 54
\]

3. Next, isolate the term with \(x\) by adding \(42\) to both sides:
\[
-12x - 42 + 42 = 54 + 42
\]
This simplifies to:
\[
-12x = 96
\]

4. Now, divide both sides by \(-12\):
\[
x = \frac{96}{-12}
\]
which simplifies to:
\[
x = -8
\]

So, the solution is:
\[
\boxed{-8}
\]

Answer 9

To solve the equation \(20x - 5(6x + 15) = -45\), follow these steps:

1. Distribute the \(-5\) on the left side:
\[
20x - 5 \cdot 6x - 5 \cdot 15 = -45
\]
This simplifies to:
\[
20x - 30x - 75 = -45
\]

2. Combine like terms (\(20x - 30x\)):
\[
-10x - 75 = -45
\]

3. Next, isolate the term with \(x\) by adding \(75\) to both sides:
\[
-10x - 75 + 75 = -45 + 75
\]
This simplifies to:
\[
-10x = 30
\]

4. Now, divide both sides by \(-10\):
\[
x = \frac{30}{-10}
\]
This simplifies to:
\[
x = -3
\]

So, the solution is:
\[
\boxed{-3}
\]