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a) x = 17/8

b) x = 23

c) x = -8/11.

Step-by-step explanation:

a)

-3x + 5 = 5x - 12

Add 3x to both sides:

5 = 8x - 12

Add 12 to both sides:

17 = 8x

Divide both sides by 8:

17/8 = 8x/8

x = 17/8.

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b)

6(x-3)-4(x+2) = 20

Distribute:

6x - 18 - 4x - 8 = 20

Combine like terms:

2x - 26 = 20

Add 26 to both sides:

2x = 46

Divide both sides by 2:

x = 23.

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c)

-2/5(x + 3) = 1/3(x - 2)

Distribute:

-2/5x - 6/5 = 1/3x - 2/3

Add 2/5x to both sides by creating a common denominator:

-6/15x - 6/5 = 5/15x - 2/3

-6/5 = 11/15x - 2/3

Add 2/3 to both sides. Create common denominator:

-18/15 = 11/15x - 10/15

-8/15 = 11/15x.

Divide both sides by 11/15:

x = -8/11.

range =5

step-by-step explanation:

to find the range, we take the largest value and subtract the smallest value.

the largest value is 5

the smallest value is 0

the range is 5-0   =5

perimeter = 10 +  √10  units

explanation:

first, we will need to get the length of each line using the distance formula which is as follows:

distance = 

1- length of ab:

ab =   = 5 units

2- length of ac

length of ac is the same as ab = 5 units

3- length of bc:

bc =   =  √10  units

now, we can get the perimeter by adding the side lengths as follows:

perimeter = 5 + 5 +  √10

perimeter = 10 +  √10  units

hope this : )

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