Respuesta :

Answer:

x = 4

Step-by-step explanation:

[tex]\frac{7x+14}{3}[/tex] - [tex]\frac{17-3x}{5}[/tex] = 6x - [tex]\frac{4x+2}{3}[/tex] - 5

Multiply through by 15 ( the LCM of 5 and 3) to clear the fractions

5(7x + 14) - 3(17 - 3x) = 90x - 5(4x + 2) - 75 ← distribute parenthesis on both sides

35x + 70 - 51 + 9x = 90x - 20x - 10 - 75 , that is

44x + 19 = 70x - 85 ( subtract 44x from both sides )

19 = 26x - 85 ( add 85 to both sides )

104 = 26x ( divide both sides by 26 )

4 = x

Happil

Answer:

[tex]x = 4[/tex]

Step-by-step explanation:

[tex]\frac{7x +14}{3} -\frac{17 -3x}{5} = 6x -\frac{4x +2}{3} -5 \\ 3 \cdot (\frac{7x +14}{3} - \frac{17 -3x}{5}) = 3 \cdot (6x -\frac{4x +2}{3} -5) \\ 7x +14 -(\frac{17 -3x}{5})(3) = 18x -(4x +2) -15 \\ 5 \cdot (7x +14 -(\frac{17 -3x}{5})(3)) = 5 \cdot (18x -(4x +2) -15) \\ 35x + 70 -(17 -3x)(3) = 90x -5(4x +2) -75 \\ 35x +70 -51 +9x = 90x -20x -10 -75 \\ 44x +19 = 70x -85 \\ 44x +19 -70x = 70x -85 -70x \\ -26x +19 = -85 \\ -26x +19 -19 = -85 -19 \\ -26x = -104 \\ \frac{-26x}{-26} = \frac{-104}{-26} \\ x = 4[/tex]

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