Solve for x:

5x - 3 - x = 21
*
1 point
x = 6
x = -6
x = 4
x = -4
Solve the equation
7x - 3 - 4x = 9
*
1 point
x = 2
x = 4
x = 3
x = 12/11
What value of x makes the statement true?
6x - 8 = 2x +4
*
1 point
x = 3
x = 1/2
x = -3
x = -1/2
Solve for x:
5(-2x +4) = 40
*
1 point
x = 2
x = -2
x = -6
x = 6

1 answer

Let's solve each equation step by step.

  1. For the equation \( 5x - 3 - x = 21 \):

    Combine like terms: \[ 5x - x - 3 = 21 \] \[ 4x - 3 = 21 \] Add 3 to both sides: \[ 4x = 21 + 3 \] \[ 4x = 24 \] Divide by 4: \[ x = 6 \]

    The answer is \( x = 6 \).


  1. For the equation \( 7x - 3 - 4x = 9 \):

    Combine like terms: \[ (7x - 4x) - 3 = 9 \] \[ 3x - 3 = 9 \] Add 3 to both sides: \[ 3x = 9 + 3 \] \[ 3x = 12 \] Divide by 3: \[ x = 4 \]

    The answer is \( x = 4 \).


  1. For the equation \( 6x - 8 = 2x + 4 \):

    Move \( 2x \) to the left side: \[ 6x - 2x - 8 = 4 \] \[ 4x - 8 = 4 \] Add 8 to both sides: \[ 4x = 4 + 8 \] \[ 4x = 12 \] Divide by 4: \[ x = 3 \]

    The answer is \( x = 3 \).


  1. For the equation \( 5(-2x + 4) = 40 \):

    Distribute the 5: \[ -10x + 20 = 40 \] Subtract 20 from both sides: \[ -10x = 40 - 20 \] \[ -10x = 20 \] Divide by -10: \[ x = -2 \]

    The answer is \( x = -2 \).


Final answers are:

  1. \( x = 6 \)
  2. \( x = 4 \)
  3. \( x = 3 \)
  4. \( x = -2 \)
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