What is the answer to (x-3)/5 =(x+1)/3-2 ?

The answer to (x-3)/5 =(x+1)/3-2 is x=8

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

\frac{x - 3}{5} = \frac{x + 1}{3} - 2

x = 8

Solution steps

\frac{x - 3}{5} = \frac{x + 1}{3} - 2

Multiply by LCM

3 (x - 3) = 5 (x + 1) - 30

Expand

3 (x - 3) : 3 x - 9

Expand

5 (x + 1) - 30 : 5 x - 25

3 x - 9 = 5 x - 25

Move

9

to the right side

3 x = 5 x - 16

Move

5 x

to the left side

- 2 x = - 16

Divide both sides by

- 2

x = 8

4 x^{2} - 6 x - 4 = 0

\frac{3}{4} \cdot 20

6 x^{2} - 24 x - 30 = 0

\frac{5}{2} \cdot \frac{3}{4}

- 4 x + 2 = 42

What is the answer to (x-3)/5 =(x+1)/3-2 ?
The answer to (x-3)/5 =(x+1)/3-2 is x=8
Solve for x: (x-3)/5 =(x+1)/3-2
The solution is x=8