Question

2/3(5-3x)+1/3(2+9x)=2x-1​

Answer 1

Ответ:

2/3(5-3x)+1/3(2+9x)=2x-1

x=5

Answer 2

To solve the equation 2/3(5-3x) + 1/3(2+9x) = 2x - 1, follow these steps:

1. Distribute the fractions: (2/3) * (5 - 3x) + (1/3) * (2 + 9x) = 2x - 1

This simplifies to:

(10/3 - 2x) + (2/3 + 3x) = 2x - 1

2. Next, combine like terms:

(10/3 - 2x) + (2/3 + 3x) = 2x - 1

Combine the constants and the x-terms on each side:

(10/3 + 2/3) - 2x - 3x = 2x - 1

(12/3) - 5x = 2x - 1

Now, simplify:

4 - 5x = 2x - 1

3. Move the terms with x to one side of the equation:

4 - 5x - 2x = -1

Combine the x-terms:

4 - 7x = -1

4. Now, isolate the x-term by moving constants to the other side:

4 - 7x - 4 = -1 - 4

-7x = -5

5. Finally, solve for x by dividing both sides by -7:

x = -5 / -7

x = 5/7

So, the solution to the equation is x = 5/7.