Match the order of the steps to solve the equation 4x+2=10

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Step 1
Step 2
Step 3









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Question 2
Solve the equation −5x+20=−5
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x =

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Question 3
Solve the equation 3+4m=−21
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m=

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1 answer

To solve the equation \( 4x + 2 = 10 \), the steps are as follows:

Steps to Solve the Equation \( 4x + 2 = 10 \)

  1. Step 1: Subtract 2 from both sides of the equation. \[ 4x + 2 - 2 = 10 - 2 \implies 4x = 8 \]

  2. Step 2: Divide both sides by 4. \[ \frac{4x}{4} = \frac{8}{4} \implies x = 2 \]

  3. Step 3: State the solution. \[ x = 2 \]

Question 2: Solve the equation \( -5x + 20 = -5 \)

To solve it, we can do the following:

  1. Subtract 20 from both sides: \[ -5x = -5 - 20 \implies -5x = -25 \]

  2. Divide both sides by -5: \[ x = \frac{-25}{-5} \implies x = 5 \]

So, \( x = 5 \).

Question 3: Solve the equation \( 3 + 4m = -21 \)

To solve this equation:

  1. Subtract 3 from both sides: \[ 4m = -21 - 3 \implies 4m = -24 \]

  2. Divide both sides by 4: \[ m = \frac{-24}{4} \implies m = -6 \]

So, \( m = -6 \).

Summary of Answers:

  • For Equation 1: \( x = 2 \)
  • For Equation 2: \( x = 5 \)
  • For Equation 3: \( m = -6 \)
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