Question

solve for x 10(x-4)+2(x-5)-5(x+6)=0

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Answer 1

Answer:

Solve for x by simplifying both sides of the equation, then isolating the variable.

x≈4.00004958

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Answer 2

Step-by-step explanation:

Given x – 4/x – 5 + x – 6/x – 7 = 10/3.

LCM of x – 5, x – 7, 3 = 3(x – 5)(x-7).

x – 4/x – 5 x 3(x – 5)(x – 7) + x – 6/x – 7 x 3(x – 5)(x – 7) = 10(x – 5)(x – 7)

3(x – 4)(x – 7) + 3(x – 6)(x – 5) = 10(x – 5)(x – 7)

6x^2 – 66x + 174 = 10x^2 – 120x + 350

6x2 – 66x + 174 – 10x2 + 120x – 350 = 0

-4x2 + 54x – 176 = 0

= -(2x2 – 27x + 88) = 0

2x2 – 27x + 88 = 0

2x2 – 16x – 11x + 88 = 0

2x(x – 8) – 11(x – 88) = 0

(2x – 11)(x – 8) = 0

x = 11/2, x = 8.