Solve for x . −4(2x−11)=12 (1 point)

Responses
1. x=2
2. x=−2
3. x=−4
4. x=4
Which answer is it??

11 answers

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

  1. Distribute \(-4\) on the left-hand side: \[ -4 \cdot 2x + 4 \cdot 11 = -8x + 44 \] So, the equation becomes: \[ -8x + 44 = 12 \]

  2. Subtract \(44\) from both sides: \[ -8x + 44 - 44 = 12 - 44 \] This simplifies to: \[ -8x = -32 \]

  3. Divide both sides by \(-8\): \[ x = \frac{-32}{-8} = 4 \]

Thus, the solution is: \[ x = 4 \]

The correct answer is 4. x = 4.

Solve for x . −3(−4x−3)=−27 (1 point)
Responses
1. x=3
2. x=−2
3. x=−3
4. x=2
Which answer is it??

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

  1. Distribute \(-3\) on the left-hand side: \[ -3 \cdot -4x - 3 \cdot -3 = 12x + 9 \] So, the equation becomes: \[ 12x + 9 = -27 \]

  2. Subtract \(9\) from both sides: \[ 12x + 9 - 9 = -27 - 9 \] This simplifies to: \[ 12x = -36 \]

  3. Divide both sides by \(12\): \[ x = \frac{-36}{12} = -3 \]

Thus, the solution is: \[ x = -3 \]

The correct answer is 3. x = -3.

Solve for x : 2x−4x−3=−27 .(1 point)
Responses
1. x=−12
2. x=−4
3. x=4
4. x=12
Which answer is it??

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

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

  2. Add \(3\) to both sides: \[ -2x - 3 + 3 = -27 + 3 \implies -2x = -24 \]

  3. Divide both sides by \(-2\): \[ x = \frac{-24}{-2} = 12 \]

Thus, the solution is: \[ x = 12 \]

The correct answer is 4. x = 12.

Solve for x : −4(3x+10)−2=54 .(1 point)
Responses
1. x=4
2. x=−4
3. x=8
4. x=−8
which answer is it??

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

  1. Start by distributing \(-4\) on the left-hand side: \[ -4 \cdot 3x - 4 \cdot 10 - 2 = -12x - 40 - 2 \] So the equation becomes: \[ -12x - 40 - 2 = 54 \]

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

  3. Add \(42\) to both sides: \[ -12x - 42 + 42 = 54 + 42 \implies -12x = 96 \]

  4. Divide both sides by \(-12\): \[ x = \frac{96}{-12} = -8 \]

Thus, the solution is: \[ x = -8 \]

The correct answer is 4. x = -8.

Solve for x : 20x−5(6x+15)=−45 .(1 point)
Responses
1. x=3
2. x=2
3. x=−2
4. x=−3
Which answer is it??

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

  1. Distribute \(-5\) to the terms inside the parentheses: \[ -5 \cdot 6x - 5 \cdot 15 = -30x - 75 \] So the equation becomes: \[ 20x - 30x - 75 = -45 \]

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

  3. Add \(75\) to both sides: \[ -10x - 75 + 75 = -45 + 75 \implies -10x = 30 \]

  4. Divide both sides by \(-10\): \[ x = \frac{30}{-10} = -3 \]

Thus, the solution is: \[ x = -3 \]

The correct answer is 4. x = -3.

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