Question

1,3 × ( 2,7 + х )= 2,6. ( х + 4,2 )

Answer 1

3,51+1,3х=2,6х+10,92
2,6х-1,3х=3,51-10,92
1,3х = -7,41
х= -7,41 / 1,3
х= -5,7

Answer 2

3,51+1,3x=2,6x+10,92
2,6x-1,3x=3,51-10,92
1,3x=-7,41
x=-7,41:1,3
x=-5,7

Answer 3

To solve the equation $1.3 \cdot (2.7 + x) = 2.6 \cdot (x + 4.2)$, you can follow these steps:

1. Distribute the constants on both sides of the equation:

$1.3 \cdot 2.7 + 1.3 \cdot x = 2.6 \cdot x + 2.6 \cdot 4.2$

2. Perform the multiplications:

$3.51 + 1.3x = 2.6x + 10.92$

3. Move all the terms involving 'x' to one side of the equation by subtracting $2.6x$ from both sides:

$3.51 + 1.3x - 2.6x = 10.92$

4. Combine like terms:

$-1.3x + 3.51 = 10.92$

5. Subtract 3.51 from both sides to isolate the term with 'x':

$-1.3x = 10.92 - 3.51$

$-1.3x = 7.41$

6. Finally, divide both sides by -1.3 to solve for 'x':

$x = \frac{7.41}{-1.3}$

Now, calculate the value of 'x':

$x \approx -5.7$

So, the solution to the equation is approximately $x \approx -5.7$.