Question

4,2x - 0,4 = 6,2x - (1,2x + 0,8)

Answer 1

Дано:

$\tt 4,2x - 0,4 = 6,2x - (1,2x + 0,8)$

Решение:

$\tt 4,2x - 0,4 = 6,2x - 1,2x - 0,8 \\ \tt 4,2x - 0,4 = 5x - 0,8 \\ \tt 4,2x - 5x = 0,4 - 0,8 \\ \tt - 0,8x = - 0,4 \\ \tt x = - 0,4 \div (- 0,8) \\ \tt x = 0,5$

Ответ: x = 0,5.

Answer 2

To solve the equation, let's first simplify the expression on the right side:

6.2x - (1.2x + 0.8)

To remove the parentheses, distribute the negative sign:

6.2x - 1.2x - 0.8

Now, combine the x terms:

(6.2x - 1.2x) - 0.8

4x - 0.8

Now, the equation becomes:

4 + 2x - 0.4 = 4x - 0.8

Next, let's move all the x terms to one side of the equation and the constant terms to the other side:

2x - 4x = 0.8 - 4 + 0.4

Simplifying further:

-2x = -3.6

Finally, solve for x by dividing both sides by -2:

x = -3.6 / -2

x = 1.8

So, the solution to the equation is x = 1.8.