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

The answer to (2x+3)/3 =(3x-5)/5 is x=-30

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

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

x = - 30

Solution steps

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

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(2 x + 3) \cdot 5 = 3 (3 x - 5)

Expand

(2 x + 3) \cdot 5 : 10 x + 15

Expand

3 (3 x - 5) : 9 x - 15

10 x + 15 = 9 x - 15

Move

15

to the right side

10 x = 9 x - 30

Move

9 x

to the left side

x = - 30

(0) r = 7

4 x + 8 = 100

3 x + 4 + 8 x + 4 = 140

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

- 6 m = - 8 - 7 m

What is the answer to (2x+3)/3 =(3x-5)/5 ?
The answer to (2x+3)/3 =(3x-5)/5 is x=-30
Solve for x: (2x+3)/3 =(3x-5)/5
The solution is x=-30