Solve the following equation algebraically. Show your work.

17=-13-8x

Solve the following equation algebraically. Show your work.

6=x+2/3

Solve the following equation algebraically. Show your work.

13+w/7=-18

17 = - 13 - 8x

Add 13 to both sides:

30 = - 8x

Divide both sides by - 8:

x = 30 / - 8

Reduce the fraction by dividing both numbers by 2:

X = - 15/4 or - 3 3/4

6 = x + 2/3

Subtract 2/3 from both sides:

x = 5 1/3

13 + w/7 = - 18

Subtract 13 from both sides:

w/7 = - 31

Multiply both sides by 7:

w = - 217

1) x = - 3.75

2) x = 5.33

3) w = - 217

Step-by-step explanation:

1) 17 = - 13 - 8x

Rearranging the terms of the equation:

=> 8x = - 13-17

=> 8x = - 30

Computing the value of x:

=> x = - 30/8 = - 15/4 = - 3.75

So the required value of x is - 3.75

2) 6 = x + 2/3

Rearranging the terms of the equation:

=> x = 6-2/3

x = (18-2) / 3

Simplifying:

x = 16/3 = 5.33

So the required value of x is 5.33

3) 13 + w/7 = - 18

Rearranging the terms of the equation:

=> w/7 = - 18-13 = - 31

Computing the value of w:

=> w = - 31 * 7 = - 217

So the required value of w is - 217