How do you do 6p - (5p+5) = - 8-2 (p+12)

Let's solve your equation step-by-step.

6

p

-

(

5

p

+

5

)

=

-

8

-

2

(

p

+

12

)

Step 1: Simplify both sides of the equation.

6

p

-

(

5

p

+

5

)

=

-

8

-

2

(

p

+

12

)

6

p

+

-

1

(

5

p

+

5

)

=

-

8

-

2

(

p

+

12

)

(Distribute the Negative Sign)

6

p

+

-

1

(

5

p

)

+

(

-

1

)

(

5

)

=

-

8

-

2

(

p

+

12

)

6

p

+

-

5

p

+

-

5

=

-

8

-

2

(

p

+

12

)

6

p

+

-

5

p

+

-

5

=

-

8

+

(

-

2

)

(

p

)

+

(

-

2

)

(

12

)

(Distribute)

6

p

+

-

5

p

+

-

5

=

-

8

+

-

2

p

+

-

24

(

6

p

+

-

5

p

)

+

(

-

5

)

=

(

-

2

p

)

+

(

-

8

+

-

24

)

(Combine Like Terms)

p

+

-

5

=

-

2

p

+

-

32

p

-

5

=

-

2

p

-

32

Step 2: Add 2p to both sides.

p

-

5

+

2

p

=

-

2

p

-

32

+

2

p

3

p

-

5

=

-

32

Step 3: Add 5 to both sides.

3

p

-

5

+

5

=

-

32

+

5

3

p

=

-

27

Step 4: Divide both sides by 3.

3

p

3

=

-

27

3

p

=

-

9

6p - (5p + 5) = - 8 - 2 (p + 12)

*Simplify both sides of the equation by distributing*

6p - 5p - 5 = - 8 + - 2p - 24

*Combine like terms*

p - 5 = - 2p - 32

*Add 2p to both sides*

3p - 5 = - 32

*Divide both sides by 3*

p = - 9