Question

(x+x*3/2+(x*3/2+7/5)):3=13/5

Answer 1

(x+x*3/2+(x*3/2+7/5)):3=13/5

(x+x*3/2+(x*3/2+7/5))=(13/5)*3

х+(6х/2)=(39/5)-(7/5)

4х=6,4

х=1,6

Answer 2

To solve the equation $\frac{x + \frac{3}{2}x + \left(\frac{3}{2}x + \frac{7}{5}\right)}{3} = \frac{13}{5}$, you can follow these steps:

1. First, simplify the expression inside the parentheses: $\frac{x + \frac{3}{2}x + \frac{3}{2}x + \frac{7}{5}}{3} = \frac{13}{5}$.

2. Combine like terms inside the parentheses: $\frac{3x + \frac{3}{2}x + \frac{7}{5}}{3} = \frac{13}{5}$.

3. Next, find a common denominator for the fractions: $\frac{\frac{15}{10}x + \frac{9}{10}x + \frac{7}{5}}{3} = \frac{13}{5}$.

4. Add the fractions inside the numerator: $\frac{\frac{15x + 9x + 14}{10}}{3} = \frac{13}{5}$.

5. Combine the fractions in the numerator: $\frac{\frac{24x + 14}{10}}{3} = \frac{13}{5}$.

6. Simplify the fraction in the numerator by dividing both the numerator and denominator by their greatest common divisor (2): $\frac{\frac{12x + 7}{5}}{3} = \frac{13}{5}$.

7. Now, you have a fraction on both sides of the equation. To eliminate the fraction on the left side, you can multiply both sides of the equation by 5: $\frac{12x + 7}{5} * 5 = \frac{13}{5} * 5$.

8. This simplifies to: $12x + 7 = 13$.

9. Subtract 7 from both sides to isolate the variable x: $12x = 13 - 7$, $12x = 6$.

10. Finally, divide both sides by 12 to solve for x: $x = \frac{6}{12}$, $x = \frac{1}{2}$.

So, the solution to the equation is $x = \frac{1}{2}$.