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.

$x=-\dfrac{12}{20}$

$x=-\dfrac{3}{5}$

Therefore, the required reasons are:

2. Distributive property

3. Combining like terms

4. Addition property of equality

5. Subtraction property of equality