Question

1/5+1/5(3x+1)-2/3×=-1/3+1/15(7x+3)

Answer 1

Ответ:

Пошаговое объяснение:

Answer 2

To solve the equation:

(1/5) + (1/5)(3x + 1) - (2/3)x = (-1/3) + (1/15)(7x + 3)

First, let's simplify the equation step by step:

1. Clear the fractions by multiplying both sides of the equation by the least common multiple (LCM) of the denominators, which is 15. This will eliminate the fractions.

(15/5) + (15/5)(3x + 1) - (15/3)x = (-15/3) + (15/15)(7x + 3)

3 + 3(3x + 1) - 5x = -5 + 7x + 3

2. Distribute the values inside the parentheses:

3 + 9x + 3 - 5x = -5 + 7x + 3

3. Combine like terms on both sides of the equation:

(9x - 5x) + (3 + 3) = (-5 + 3) + 7x

4x + 6 = -2 + 7x

4. Move the terms with x to one side of the equation and the constants to the other side:

4x - 7x = -2 - 6

-3x = -8

5. Divide both sides by -3 to solve for x:

x = (-8) / (-3)

x = 8/3

So, the solution to the equation is x = 8/3.