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

The answer to 3/5 (x+2)= 3/2 (2x-4)-2/5 is x= 19/6

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

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

x = \frac{19}{6}

Decimal Notation

x = 3.16666 \dots

Solution steps

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

Multiply

\frac{3}{2} (2 x - 4) : \frac{3 ( 2 x - 4 )}{2}

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

Multiply by LCM

6 (x + 2) = 30 (x - 2) - 4

Expand

6 (x + 2) : 6 x + 12

Expand

30 (x - 2) - 4 : 30 x - 64

6 x + 12 = 30 x - 64

Move

12

to the right side

6 x = 30 x - 76

Move

30 x

to the left side

- 24 x = - 76

Divide both sides by

- 24

x = \frac{19}{6}

x, 4 x + 4 y = 16

x, x - 4 y = - 2

x, 2 x - 10 = 7 + y

(2 - 5 i) z = 1

k = 10 t - 19

What is the answer to 3/5 (x+2)= 3/2 (2x-4)-2/5 ?
The answer to 3/5 (x+2)= 3/2 (2x-4)-2/5 is x= 19/6
Solve for x: 3/5 (x+2)= 3/2 (2x-4)-2/5
The solution is x= 19/6