Question

(205+x):8=26169:(3x-2)=13​

Answer 1

(205 + х) : 8 = 26                    169 : (3х - 2) = 13

205 + х = 26 · 8                      3х - 2 = 169 : 13

205 + х = 208                         3х - 2  = 13

х = 208 - 205                          3х = 13 + 2

х = 3                                         3х = 15

                                                х = 15 : 3

                                                х = 5

Answer 2

Ответ:

(205 + х) : 8 = 26              

205 + х = 26 · 8                    

205 + х = 208                        

х = 208 - 205                          

х = 3                                        

                                             

169 : (3х - 2) = 13                                                

3х - 2 = 169 : 13

3х - 2  = 13

3х = 13 + 2

3х = 15

х = 15 : 3

х = 5

Answer 3

To solve the equation $\frac{205+x}{8}=\frac{26169}{3x-2}=13$, we'll need to solve for the value of $x$. Let's break down the process step by step:

1. Start with the first part of the equation: $\frac{205+x}{8}=13$

2. Multiply both sides of the equation by 8 to isolate the numerator: $205+x=104$

3. Subtract 205 from both sides: $x=-101$

Now, let's move on to the second part of the equation: $\frac{26169}{3x-2}=13$

1. Multiply both sides of the equation by $3x-2$ to isolate the numerator: $26169=13(3x-2)$

2. Divide both sides by 13: $2013=3x-2$

3. Add 2 to both sides: $3x=2015$

4. Divide both sides by 3: $x=\frac{2015}{3}$

So, the solution for the equation is $x=-101$ and $x=\frac{2015}{3}$.