Question

PLEASE HELP

Justify each step in solving the equation 7(x+1)+11x=-2x-5 by writing a reason for each statement.

Answer 1

Given:

The equation is

`7(x+1)+11x=-2x-5`

To find:

The reason for each statement.

Solution:

We have,

`7(x+1)+11x=-2x-5`

Using distributive property, we get

`7x+7+11x=-2x-5`

On combine like terms, we get

`18x+7=-2x-5`

Using addition property of equality, add 2x on both sides.

`20x+7=-5`

Using subtraction property of equality, subtract 7 from both sides.

`20x=-12`

Using division property of equality, divide both sides by 20.

`x=-(12)/(20)`

`x=-(3)/(5)`

Therefore, the required reasons are:

2. Distributive property

3. Combining like terms

4. Addition property of equality

5. Subtraction property of equality