Respuesta :

X=5 if you are to substitute 5 for the x’a you should get 69

Answer:

 [tex]\boxed{x=5}[/tex]

Solution Steps:

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1.) Swap sides so that all variable terms are on the left hand side:

  • [tex]7x+5x+9=69[/tex]

 - This is an optional step. I prefer the numbers to be on the left hand side, but it's not necessary.

Equation at the end of Step 1:

  • [tex]7x+5x+9=69[/tex]
  • [tex]69=7x+5x+9[/tex]

2.) Combine 7x and 5x:

  • [tex]7x+5x=12x[/tex]

 - We combine like terms because there is 2 x's, and we need 1 x.

Equation at the end of Step 2:

  • [tex]12x+9=69[/tex]

3.) Subtract 9 from both sides:

  • [tex]9-9=[/tex] Cancels Out
  • [tex]69-9=60[/tex]

 - When solving problems like this, to get x alone you have to do the opposite of what you see.

 - In this case, we have a positive 9. So to get rid of 9 we do the opposite: -9 on each side.

Equation at the end of Step 3:

  • [tex]12x=60[/tex]

4.) Divide both sides by 12:

  • [tex]12x[/tex] ÷ [tex]12=x[/tex]
  • [tex]60[/tex] ÷ [tex]12=5[/tex]

 - When solving problems like this, to get x alone you have to do the opposite of what you see.

 - In this case, we have 12 being multiplied by x. So to get rid of the 12 we do the opposite: Divide by 12 on each side.

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