Question

3(x-9)/4=4(x+1)/5-5(1-2x)/6

Answer 1

Ответ: x=

Пошаговое объяснение:

Answer 2

To solve the equation 3(x-9)/4=4(x+1)/5-5(1-2x)/6, we can follow these steps:

Step 1: Simplify the equation

First, let's simplify both sides of the equation by multiplying through by the common denominators:

3(x-9)/4 = 4(x+1)/5 - 5(1-2x)/6

Multiplying through by 4, 5, and 6, we get:

15(x-9) = 24(x+1) - 20(1-2x)

Step 2: Expand and simplify

Next, let's expand and simplify both sides of the equation:

15x - 135 = 24x + 24 - 20 + 40x

Simplifying further, we have:

15x - 135 = 64x + 4

Step 3: Move variables to one side

Now, let's move all the variables to one side of the equation and the constants to the other side:

15x - 64x = 4 + 135

Simplifying further, we get:

-49x = 139

Step 4: Solve for x

Finally, let's solve for x by dividing both sides of the equation by -49:

x = 139 / -49

Simplifying further, we have:

x = -2.8367

Therefore, the solution to the equation 3(x-9)/4=4(x+1)/5-5(1-2x)/6 is x = -2.8367.

Please note that the solution is rounded to four decimal places.

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