Question

solve. a+(a+2)+(a+8)=20
​

Answer 1

Step-by-step explanation:

Eliminate redundant parentheses

+

(

+

2

)

+

(

+

8

)

=

2

0

a+(a+2)+(a+8)=20

+

+

2

+

+

8

=

2

0

a+a+2+a+8=20

2

Add the numbers

+

+

2

+

+

8

=

2

0

a+a+{\color{#c92786}{2}}+a+{\color{#c92786}{8}}=20

+

+

1

0

+

=

2

0

a+a+{\color{#c92786}{10}}+a=20

3

Combine like terms

+

+

1

0

+

=

2

0

{\color{#c92786}{a}}+{\color{#c92786}{a}}+10+{\color{#c92786}{a}}=20

3

+

1

0

=

2

0

{\color{#c92786}{3a}}+10=20

4

Subtract

1

0

10

from both sides of the equation

3

+

1

0

=

2

0

3a+10=20

3

+

1

0

−

1

0

=

2

0

−

1

0

3a+10{\color{#c92786}{-10}}=20{\color{#c92786}{-10}}

5

Simplify

Subtract the numbers

Subtract the numbers

3

=

1

0

3a=10

6

Divide both sides of the equation by the same term

3

=

1

0

3a=10

3

3

=

1

0

3

\frac{3a}{{\color{#c92786}{3}}}=\frac{10}{{\color{#c92786}{3}}}

7

Simplify

Cancel terms that are in both the numerator and denominator

=

1

0