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Solve for x. 


−4(2x−11)=12 (1 point)

9 answers

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: \[ \boxed{4} \]

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

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: \[ \boxed{-3} \]

Solve for x. 

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

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: \[ \boxed{12} \]

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

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: \[ \boxed{-8} \]

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

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: \[ \boxed{-3} \]