Question

0.6(x-6)+14.2=0.8(8-x)

Answer 1

Для удобства умножим обе части уравнения на 10, чтобы избавиться от дробей:
6(х-6)+142=8(8-х)
Разделим обе части на 2, чтобы было попроще:
3(х-6)+71=4(8-х)
Раскроем скобки:
3х-18+71=32-4х
Приведём подобные слагаемые:
3х+53=32-4х
7х=-21
х=-3
Пишем ответ.

Answer 2

To solve the equation 0.6(x - 6) + 14.2 = 0.8(8 - x), follow these steps:

Step 1: Distribute the constants on the right side of the equation.

0.6x - 3.6 + 14.2 = 6.4 - 0.8x

Step 2: Combine like terms on both sides of the equation.

0.6x + 10.6 = 6.4 - 0.8x

Step 3: Add 0.8x to both sides to isolate the x terms on one side.

0.6x + 0.8x + 10.6 = 6.4

1.4x + 10.6 = 6.4

Step 4: Subtract 10.6 from both sides to isolate the x terms.

1.4x = 6.4 - 10.6

1.4x = -4.2

Step 5: Divide both sides by 1.4 to solve for x.

x = -4.2 / 1.4

x = -3

So, the solution to the equation is x = -3.