Respuesta :

samrinc
first you would combine like terms. you would do this by finding the common denominator of 2x/3 and 1x/6 so that you can subtract them. since the least common multiple of 3 and 6 is 6, the fractions would become 4x/6 and 1x/6. subtracting those would leave you with 3x/6 = -3/4. then, you would multiply both sides by the reciprocal, or 6/3 aka 2. by doing that, you get x = -6/4, or -3/2.

Answer:

x = - 1.5

Step-by-step explanation:

Given

[tex]\frac{2x}{3}[/tex] - [tex]\frac{x}{6}[/tex] = - [tex]\frac{3}{4}[/tex]

Eliminate the fractions by multiplying by the lowest common multiple of the denominators 3, 6 and 4, that is 12

Multiply each term by 12

12 × [tex]\frac{2x}{3}[/tex] - 12 × [tex]\frac{x}{6}[/tex] = - 12 × [tex]\frac{3}{4}[/tex]

8x - 2x = - 9

6x = - 9 ( divide both sides by 6 )

x = - [tex]\frac{9}{6}[/tex] = - [tex]\frac{3}{2}[/tex] = - 1.5

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