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 fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

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

Multiply by LCM

2 (3 x - 5 (x + 4)) = 5 (x - 3) - 10 (x + 2)

Expand

2 (3 x - 5 (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

x, - 8 x + 2 y = - 4

- 6 (3 + x) + 2 (3 x + 5) = 0

2 (x - 5) = 4 (5 x + 1)

y + 5 = 5

7 a = 10 - 2 h

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