Question

6,5x+3,8=4,8+0,5(x-4)

Answer 1

$6,5x+3,8=4,8+0,5(x-4)\\6,5x+3,8=4,8+0,5x-2\\6x+3,8=4,8-2\\6x=4,8-2-3,8\\6x=-1\\x=-\frac{1}{6}$

Ответ: x=-1/6

Answer 2

Let's solve the equation step by step:

6.5x + 3.8 = 4.8 + 0.5(x - 4)

First, let's simplify the equation by distributing 0.5 to both terms inside the parentheses:

6.5x + 3.8 = 4.8 + 0.5x - 2

Next, let's combine like terms on both sides of the equation:

6.5x + 3.8 = 0.5x + 2.8

Now, let's isolate the variable terms on one side and the constant terms on the other side. We can do this by subtracting 0.5x from both sides:

6.5x - 0.5x + 3.8 = 0.5x - 0.5x + 2.8

Simplifying further:

6x + 3.8 = 2.8

Next, let's isolate the variable terms by subtracting 3.8 from both sides:

6x + 3.8 - 3.8 = 2.8 - 3.8

Simplifying further:

6x = -1

Finally, let's solve for x by dividing both sides by 6:

(6x)/6 = -1/6

Simplifying:

x = -1/6

Therefore, the solution to the equation 6.5x + 3.8 = 4.8 + 0.5(x - 4) is x = -1/6.