Determine which of the following equations have the same solution set by recognizing properties rather than solving.
a. 2x + 3 = 13 - 5x
b. 6 + 4x = 10x + 26
c. 6x + 9 = 13/5 - x
d. 0.6 + 0.4x = x + 2.6
e. 3(2x + 3) = 13/5 -x
f. 4x = -10x + 20
g. 15(2x + 3) = 13 - 5x
h. 15(2x + 3) + 97 = 110 - 5x

Answer

a) 2 x + 3 = 13 - 5 x

   7 x = 13 -3

   7 x = 10

b) 6 + 4 x = 10 x + 26

     6 x = 20

c) 6 x + 9 = 13/5 - x

d) 0.6 + 0.4 x = x + 2.6

         0.6 x = -2

e) 3(2x + 3) = 13/5 -x

   6 x + 9 = 13/5 - x

f) 4 x = -10 x + 20

      14 x = 20

g) 15(2x + 3) = 13 - 5x

    30 x + 45 = 13 - 5 x

         35 x = -32

h)15(2x + 3) + 97 = 110 - 5x

   30 x + 45 + 97 = 110 - 5x

    35 x = -32

so , the solution of part c, e, g, h is same which is

      the solution of part a, f  is same which is

b. x + 1

step-by-step explanation:

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