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3 votes
Solve the equation: 5(p+2) - 2p * 5 = 5 + 3p

Currently stuck on this question. Would appreciate some help with the steps on how to solve it. Thanks.

User Torsten
by
6.4k points

1 Answer

6 votes

Explanation:

How to solve your question

Your question is

5

(

+

2

)

2

5

=

5

+

3

5(p+2)-2p \cdot 5=5+3p

5(p+2)−2p⋅5=5+3p

Solve

1

Distribute

5

(

+

2

)

2

5

=

5

+

3

5

+

1

0

2

5

=

5

+

3

2

Multiply the numbers

5

+

1

0

2

5

=

5

+

3

5

+

1

0

1

0

=

5

+

3

3

Combine like terms

5

+

1

0

1

0

=

5

+

3

5

+

1

0

=

5

+

3

4

Rearrange terms

5

+

1

0

=

5

+

3

5

+

1

0

=

3

+

5

5

Subtract

1

0

10

10

from both sides of the equation

5

+

1

0

=

3

+

5

5

+

1

0

1

0

=

3

+

5

1

0

6

Simplify

Subtract the numbers

Subtract the numbers

5

=

3

5

7

Subtract

3

3p

3p

from both sides of the equation

5

=

3

5

5

3

=

3

5

3

8

Simplify

Combine like terms

Combine like terms

8

=

5

9

Divide both sides of the equation by the same term

8

=

5

8

8

=

5

8

10

Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

=

5

8

Solution

=

5

8

User ExodusNicholas
by
6.3k points