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Solve for x:

* 3x + 12 + x = 48.
* 3x - 12 = 25 + 2x - 2.
* 3 - 6x + 2 = 29.
* x + 1 + 4x = 26.

11 answers

Let's solve each equation step by step.

  1. Equation 1: \( 3x + 12 + x = 48 \)

    Combine like terms: \[ 4x + 12 = 48 \]

    Subtract 12 from both sides: \[ 4x = 48 - 12 \] \[ 4x = 36 \]

    Divide by 4: \[ x = \frac{36}{4} = 9 \]

  2. Equation 2: \( 3x - 12 = 25 + 2x - 2 \)

    Simplify the right side: \[ 3x - 12 = 25 - 2 = 23 + 2x \]

    Subtract \(2x\) from both sides: \[ 3x - 2x - 12 = 23 \] \[ x - 12 = 23 \]

    Add 12 to both sides: \[ x = 23 + 12 \] \[ x = 35 \]

  3. Equation 3: \( 3 - 6x + 2 = 29 \)

    Combine like terms: \[ 5 - 6x = 29 \]

    Subtract 5 from both sides: \[ -6x = 29 - 5 \] \[ -6x = 24 \]

    Divide by -6: \[ x = \frac{24}{-6} = -4 \]

  4. Equation 4: \( x + 1 + 4x = 26 \)

    Combine like terms: \[ 5x + 1 = 26 \]

    Subtract 1 from both sides: \[ 5x = 26 - 1 \] \[ 5x = 25 \]

    Divide by 5: \[ x = \frac{25}{5} = 5 \]

Final Solutions:

  • From the first equation: \( x = 9 \)
  • From the second equation: \( x = 35 \)
  • From the third equation: \( x = -4 \)
  • From the fourth equation: \( x = 5 \)
Can you give me just the answers in bullet points?

Sure! Here are the answers:

  • \( x = 9 \)
  • \( x = 35 \)
  • \( x = -4 \)
  • \( x = 5 \)
Solve the equations below:
* 15c - 12 = 8c + 2.
* 2d + 18 = 12 - 6d - 42.
* 8e - 40 = 6e - 16.
* -6h + 12 = 20 - 4h.
* 10 - 3r = -4r - 10 - 6.
* -10x + 6 = -6x + 10.
* -6n - 12 = -3n + 36.
* 14s - 8s - 48 = 0.

Can you just put the answers in bullet points?

Of course! Here are the answers:

  • \( c = \frac{14}{7} = 2 \)
  • \( d = -3 \)
  • \( e = 12 \)
  • \( h = -4 \)
  • \( r = -2 \)
  • \( x = 1 \)
  • \( n = -12 \)
  • \( s = 6 \)
Can you make it more standard like s = 6?

Certainly! Here are the answers in a standard format:

  • \( c = 2 \)
  • \( d = -3 \)
  • \( e = 12 \)
  • \( h = -4 \)
  • \( r = -2 \)
  • \( x = 1 \)
  • \( n = -12 \)
  • \( s = 6 \)
Divide the United States into four regions: West, Midwest, South, and Northeast. Write in one sentence MAX a characteristic shared by the states within each region. The characteristic can be related to physical or human geography.

Sure! Here are the characteristics for each region:

  • West: The West is characterized by diverse landscapes, including mountains, deserts, and Pacific coastlines, along with a significant emphasis on outdoor recreation and environmental preservation.
  • Midwest: The Midwest is known as the "Heartland" of the U.S., featuring vast agricultural plains and a strong focus on farming and manufacturing industries.
  • South: The South is characterized by a warm climate, rich cultural heritage, and a history heavily influenced by agriculture, particularly the cultivation of cotton and tobacco.
  • Northeast: The Northeast is known for its historical significance, dense population centers, and a mix of urban and rural areas with a strong emphasis on finance, education, and technology.
Can you make that into one sentence?

Certainly! Here’s a single sentence summarizing the shared characteristics of each U.S. region:

The West is characterized by diverse landscapes and outdoor recreation, the Midwest is known as the agricultural "Heartland" with vast plains, the South features a warm climate and a rich cultural heritage rooted in agriculture, and the Northeast is recognized for its historical significance and urban centers emphasizing finance and education.