Use properties to rewrite the given equation. Which equations have the same solution as x + + x = – x? Check all that apply. x + = – x
18x + 20 + 30x = 15 – 6x
18x + 20 + x = 15 – 6x
24x + 30x = –5
12x + 30x = –5

options (a), (b), (c), and (e) have the same solution as the solution of  3/5 x + 2/3 + x = 1/2 -1/5x.

Step-by-step explanation:

The given equation is

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

First, rearrange the equation to have constant terms and the terms having variable on the separate side.

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

9/5 x = -1/6

x= -1/6 ÷ 9/5

x= -1/6 x 5/9

x= -5/54 ...(i)

Now, find the solution of all the options in the similar way:

(a) 8/5 x +2/3 = 1/2 -1/5 x

8/5 x + 1/5 x = 1/2 - 2/3

9/5 x = -1/6

x= -1/6 ÷ 9/5

x= -1/6 x 5/9

x= -5/54 which is same as the solution of the mentioned equation. [ from equation (i)]

(b) 18x + 20 + 30x = 15 – 6x

18x+30x+6x = 15 -20

54x=-5

x= -5/54 which is same as the solution of the mentioned equation. [from equation (i)]

(c) 18x + 20 + x = 15 – 6x

18x+x+6x = 15 -20

25x=-5

x= -5/25 which is not the same as the solution of the mentioned equation. [ from equation (i)]

(d) 24x + 30x = –5

54x = -5

54x=-5

x= -5/54 which is same as the solution of the mentioned equation. [ from equation (i)]

(e) 12x + 30x = –5

42x = -5

42x=-5

x= -5/42 which not is same as the solution of the mentioned equation. [ from equation (i)].

Hence, options (a), (b), (c), and (e) have the same solution as the solutions of the given equation.

idk

step-by-step explanation:

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