Question

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

Answer 1

9514 1404 393

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.

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1. 10 − 6 x = 4 + 5x

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

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2. 3 ( 4 x − 3 ) = − 15

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

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3. 5x/-3=12/1

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

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4. −3 ( 4 x − 3 ) = − 15

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

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

6 -6x = 5x