Ask a New Question
Menu

Solve for x: −4(3x+10)−2=54.(1 point)

Responses

x=8
x equals 8

x=4
x equals 4

x=−8
x equal negative 8

x=−4

3 answers

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

  1. Distribute the \(-4\) on the left side:

    \[ -4 \cdot 3x - 4 \cdot 10 - 2 = 54 \] \[ -12x - 40 - 2 = 54 \]

  2. Combine the constants on the left side:

    \[ -12x - 42 = 54 \]

  3. Add \(42\) to both sides:

    \[ -12x = 54 + 42 \] \[ -12x = 96 \]

  4. Divide each side by \(-12\):

    \[ x = \frac{96}{-12} \] \[ x = -8 \]

So, the solution is:

\[ \boxed{x = -8} \]

This corresponds to the response: \(x=−8\) (x equal negative 8).

Solve for x: 20x−5(6x+15)=−45.(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 \(20x - 5(6x + 15) = -45\), follow these steps:

  1. Distribute the \(-5\) on the left side:

    \[ 20x - 5 \cdot 6x - 5 \cdot 15 = -45 \] \[ 20x - 30x - 75 = -45 \]

  2. Combine like terms:

    \[ (20x - 30x) - 75 = -45 \] \[ -10x - 75 = -45 \]

  3. Add 75 to both sides:

    \[ -10x = -45 + 75 \] \[ -10x = 30 \]

  4. Divide each side by \(-10\):

    \[ x = \frac{30}{-10} \] \[ x = -3 \]

So, the solution is:

\[ \boxed{x = -3} \]

This corresponds to the response: \(x=−3\) (x equal negative 3).