Question

3)3x+4/5+ x-7/2=2(2x + 3)/5​

Answer 1

ответ

решение

х

$x = - \frac{31}{90}$

Answer 2

To solve the equation $3x + \frac{4}{5} + x - \frac{7}{2} = \frac{2(2x + 3)}{5}$, you'll want to simplify and isolate $x$. Here are the steps to do that:

Step 1: Get rid of fractions by multiplying both sides of the equation by the common denominator, which is 10 in this case.

$10 \cdot (3x + \frac{4}{5} + x - \frac{7}{2}) = 10 \cdot \frac{2(2x + 3)}{5}$

This will result in:

$10(3x) + 10\left(\frac{4}{5}\right) + 10x - 10\left(\frac{7}{2}\right) = \frac{10 \cdot 2(2x + 3)}{5}$

Simplify each term:

$30x + 8 - 35x = 4(2x + 3)$

Step 2: Continue simplifying the equation.

Combine like terms on both sides of the equation:

$-5x + 8 = 8x + 12$

Step 3: Move all terms involving $x$ to one side and constants to the other side of the equation.

$-5x - 8x = 12 - 8$

This simplifies to:

$-13x = 4$

Step 4: Isolate $x$ by dividing both sides by -13:

$\frac{-13x}{-13} = \frac{4}{-13}$

This gives you:

$x = \frac{-4}{13}$

So, the solution to the equation $3x + \frac{4}{5} + x - \frac{7}{2} = \frac{2(2x + 3)}{5}$ is $x = \frac{-4}{13}$.