Math, asked by simran7394, 4 months ago

3(x-5) = 2( x+8) solve ​

Answers

Answered by priyasamanta501
4

3(x-5)=2(x+8)

=>3x-15=2x+16

=>3x-2x=16+15

=>x=31

Answered by pranithranga1710
1

Answer:

Step-by-step explanation:

3

(

5

)

=

2

(

+

8

)

{\color{#c92786}{3(x-5)}}=2(x+8)

3(x−5)=2(x+8)

3

1

5

=

2

(

+

8

)

{\color{#c92786}{3x-15}}=2(x+8)

3x−15=2(x+8)

2

Distribute

3

1

5

=

2

(

+

8

)

3x-15={\color{#c92786}{2(x+8)}}

3x−15=2(x+8)

3

1

5

=

2

+

1

6

3x-15={\color{#c92786}{2x+16}}

3x−15=2x+16

3

Add  

1

5

15

15

to both sides of the equation

3

1

5

=

2

+

1

6

3x-15=2x+16

3x−15=2x+16

3

1

5

+

1

5

=

2

+

1

6

+

1

5

3x-15+{\color{#c92786}{15}}=2x+16+{\color{#c92786}{15}}

3x−15+15=2x+16+15

4

Simplify

Add the numbers

Add the numbers

3

=

2

+

3

1

3x=2x+31

3x=2x+31

5

Subtract  

2

2x

2x

from both sides of the equation

3

=

2

+

3

1

3x=2x+31

3x=2x+31

3

2

=

2

+

3

1

2

3x{\color{#c92786}{-2x}}=2x+31{\color{#c92786}{-2x}}

3x−2x=2x+31−2x

6

Simplify

Combine like terms

Multiply by 1

Combine like terms

=

3

1

x=31

x=31

Solution

=

3

1

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