Respuesta :

loneguy

[tex]\left(\dfrac 14 x -7 \right) - \left(\dfrac 34 x - 5 \right)\\\\\\=\dfrac 14 x -7 - \dfrac 34 x +5\\\\\\=x\left(\dfrac 14 - \dfrac 34 \right) -2\\\\\\=- x\left(\dfrac 24 \right) -2\\\\\\=-\dfrac 12 x -2[/tex]

Answer:

-1/2x-2

Step-by-step explanation:

Distribute the negative sign from the right side to make the equation positive

1/4x - 7 + (-1)(3/4x) + (-1)(-5)

(basically multiplying -1 to 3/4x and -5 to eliminate it)

1/4x - 7 + -3/4x+ 5

Make the equation similar

(1/4x + -3/4x) + (-7 + 5)

combine like terms

1/4x + -3/4x = -2/4x --> Simplifies to -1/2x

Do the other integers

-7 + 5 = -2

Put it together

-1/2x-2

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