What is the answer to 2/5 (x-5/3 (x+4))=(x-3)/3-2/3 (x+2) ?

The answer to 2/5 (x-5/3 (x+4))=(x-3)/3-2/3 (x+2) is x=5

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2/5 (x-5/3 (x+4))=(x-3)/3-2/3 (x+2)

\frac{2}{5} (x - \frac{5}{3} (x + 4)) = \frac{x - 3}{3} - \frac{2}{3} (x + 2)

x = 5

Solution steps

\frac{2}{5} (x - \frac{5}{3} (x + 4)) = \frac{x - 3}{3} - \frac{2}{3} (x + 2)

Multiply by LCM

6 (x - \frac{5}{3} (x + 4)) = 5 (x - 3) - 10 (x + 2)

Expand

6 (x - \frac{5}{3} (x + 4)) : - 4 x - 40

Expand

5 (x - 3) - 10 (x + 2) : - 5 x - 35

- 4 x - 40 = - 5 x - 35

Move

40

to the right side

- 4 x = - 5 x + 5

Move

5 x

to the left side

x = 5

\frac{1}{5} (4 x + 20) + 3 x = 6 (x - 3)

3 x + 2 x - 9 = 4 x + 11

x, - x + 3 y = 15

3 x - 4 = 5 (x - 2)

y, x = 3 y - 3

What is the answer to 2/5 (x-5/3 (x+4))=(x-3)/3-2/3 (x+2) ?
The answer to 2/5 (x-5/3 (x+4))=(x-3)/3-2/3 (x+2) is x=5
Solve for x: 2/5 (x-5/3 (x+4))=(x-3)/3-2/3 (x+2)
The solution is x=5