How do you solve # 7x – 7 = 2x + 8#?

Answer 1

#x = 3#

This is solved by simply moving the terms with #x# to the same side and the integers to the same side. You can do this by subtracting #2x# from both sides and adding #7# to both sides. This gives:
#5x = 15#
Then divide both sides by #5#, which gives #x = 3#.
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Answer 2

#x=3#

The one rule you must follow is that what you do to one side of the equation you do to the other. Otherwise the 'equals' sign becomes false

Example: #7=7# this is true as the value on both sides is the same.
If I apply #7-2=7# this becomes false as we have 5=7 which is not true. How ever
#7-2=7-2# is true. We have applied the action to both sides. '~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ This is why what I wrote is important:
Given:#" "color(brown)(7x-7=2x+8)#
Subtract #color(blue)(2x)# from both sides
#" "color(brown)(7xcolor(blue)(-2x)-7=2xcolor(blue)(-2x)+8)#
But #2x-2x =0#
#" "5x-7=0+8#
Add #color(blue)(7)# to both sides
#" "color(brown)(5x-7color(blue)(+7)=8color(blue)(+7)#
But # -7 +7 = 0#
#" "5x+0=15#
Divide both sides by #color(blue)(5)#
#" "color(brown)(5/(color(blue)(5)) x=15/(color(blue)(5)))#
But #5/5=1" and "15/5= 3#
#" "color(magenta)(x=3)#

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

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Answer 3

To solve the equation 7x - 7 = 2x + 8:

  1. First, isolate the terms with x on one side of the equation. Subtract 2x from both sides: 7x - 2x - 7 = 8
  2. Simplify the left side of the equation: 5x - 7 = 8
  3. Next, add 7 to both sides of the equation to isolate the term with x: 5x = 15
  4. Finally, divide both sides by 5 to solve for x: x = 3

Therefore, the solution to the equation is x = 3.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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