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PLEASE HELP

Explain what is happening at this step in the solving equation process.
10 − 6 x = 4 + 5 x

7-6x=1+5x

3 ( 4 x − 3 ) = − 15

4x-3=5


5x/-3=12/1

5x=-36


−3 ( 4 x − 3 ) = − 15

4x-3=5

User Foreline
by
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1 Answer

5 votes

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Answer:

  1. 3 was subtracted
  2. both sides were divided by 3
  3. both sides were multiplied by -3
  4. both sides were divided by -3

Explanation:

It looks like you have four different equations here.

As a rule, each step in the solution involves one of the properties of equality: addition, subtraction, multiplication, or division. These properties let you do the same thing (one of these operations) to both sides of the equation.

__

1. 10 − 6 x = 4 + 5x

7 -6x = 1 +5x . . . . 3 was subtracted from both sides*

__

2. 3 ( 4 x − 3 ) = − 15

4x -3 = -5 . . . . . both sides were divided by 3

__

3. 5x/-3=12/1

5x=-36 . . . . both sides were multiplied by -3

__

4. −3 ( 4 x − 3 ) = − 15

4x -3 = 5 . . . . both sides were divided by -3

_____

* For this equation it would have been more useful to subtract 4 to get ...

6 -6x = 5x

User Matthew Trow
by
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