What is the answer to (3x+2)/5-8=3x-(2x-2)/2 ?

The answer to (3x+2)/5-8=3x-(2x-2)/2 is x=-43/7

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(3x+2)/5-8=3x-(2x-2)/2

\frac{3 x + 2}{5} - 8 = 3 x - \frac{2 x - 2}{2}

x = - \frac{43}{7}

Decimal Notation

x = - 6.14285 \dots

Solution steps

\frac{3 x + 2}{5} - 8 = 3 x - \frac{2 x - 2}{2}

Multiply by LCM

2 (3 x + 2) - 80 = 30 x - 10 (x - 1)

Expand

- 10 (x - 1) : - 10 x + 10

6 x - 76 = 30 x - 10 x + 10

Add similar elements:

30 x - 10 x = 20 x

6 x - 76 = 20 x + 10

Expand

2 (3 x + 2) - 80 : 6 x - 76

6 x - 76 = 20 x + 10

Move

76

to the right side

6 x = 20 x + 86

Move

20 x

to the left side

- 14 x = 86

Divide both sides by

- 14

x = - \frac{43}{7}

2 \cdot (3 x - 2) - (x + 3) = 8

\frac{x}{4} = \frac{3 - x}{5}

3 x + 2 = - 28, x

x, 2 x^{2} - 3 y^{3} = 10

0.25 \cdot 10000 = x

What is the answer to (3x+2)/5-8=3x-(2x-2)/2 ?
The answer to (3x+2)/5-8=3x-(2x-2)/2 is x=-43/7
Solve for x: (3x+2)/5-8=3x-(2x-2)/2
The solution is x=-43/7