Answer:
1st, 2nd and 6th options
Step-by-step explanation:
Given
[tex]\frac{2}{3}[/tex] - x + [tex]\frac{1}{6}[/tex] = 6x ( multiply through by 6 to clear the fractions )
4 - 6x + 1 = 36x ← option 1 will have the same solution set
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Adding the 2 fractions on the left side gives
[tex]\frac{4}{6}[/tex] +[tex]\frac{1}{6}[/tex] - x = 6x , that is
[tex]\frac{5}{6}[/tex] - x = 6x ← option 2 will have the same solution set
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From
4 - 6x + 1 = 36x ( add 6x to both sides )
5 = 42x ← option 6 will have the same solution set