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find the value of x when the arithmetic mean of (x+2) and (4x+5) is (3x+2)​

Sagot :

Answer:

x = 3

Step-by-step explanation:

[tex]\frac{(x + 2)+(4x+5)}{2} =3x+2\\\frac{5x+7}{2} =3x+2[/tex]

multiply both sides by 2

[tex]5x+7=2(3x+2)\\5x+7=6x+4\\6x-5x=7-4\\x=3[/tex]

Answer:

x

=

3

Step-by-step explanation:

the arithmetic mean is

x

+

2

+

4

x

+

5

2

=

3

x

+

2

5

x

+

7

=

2

(

3

x

+

2

)

5

x

+

7

=

6

x

+

4

7

4

=

6

x

5

x

x

=

3