Question

3/2(х-2)-1=1/6(х+8)​

Answer 1

Ответ:

х=4

Объяснение:

3/2(х-2)-1=1/6(х+8)

3/2х-3-1=1/6*(х+8)

3/2х-4=1/6х+4/3

9х-24=х+8

9х-24х-х=8

8х=8+24

х=4

Answer 2

To solve the equation 3/2(x - 2) - 1 = 1/6(x + 8), you can follow these steps:

Step 1: Distribute the fractions on both sides of the equation to eliminate them.

(3/2)(x - 2) - 1 = (1/6)(x + 8)

(3/2)x - 3 - 1 = (1/6)x + (1/6)(8)

Step 2: Combine like terms on each side of the equation.

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

Step 3: Get rid of the fractions by multiplying both sides of the equation by the least common multiple (LCM) of 2 and 6, which is 6. This will clear the fractions.

6[(3/2)x - 4] = 6[(1/6)x + 4/6]

3(3x - 8) = x + 4

Step 4: Distribute on both sides of the equation and simplify.

9x - 24 = x + 4

Step 5: Move x terms to one side and constants to the other side of the equation.

9x - x = 4 + 24

8x = 28

Step 6: Finally, solve for x by dividing both sides by 8.

x = 28 / 8

x = 7

So, the solution to the equation is x = 7.