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

The answer to (3x+8)/5 =(x-2)/3 is x=-17/2

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

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

x = - \frac{17}{2}

Decimal Notation

x = - 8.5

Solution steps

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

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(3 x + 8) \cdot 3 = 5 (x - 2)

Expand

(3 x + 8) \cdot 3 : 9 x + 24

Expand

5 (x - 2) : 5 x - 10

9 x + 24 = 5 x - 10

Move

24

to the right side

9 x = 5 x - 34

Move

5 x

to the left side

4 x = - 34

Divide both sides by

4

x = - \frac{17}{2}

x, 4 x y - 5 x + 3 y - 9 = 0

5 - 6 x = 17

7 = x + 3

y, det (3 x) - 2 y = 19

x, ln (y) + \frac{x}{y} = c

What is the answer to (3x+8)/5 =(x-2)/3 ?
The answer to (3x+8)/5 =(x-2)/3 is x=-17/2
Solve for x: (3x+8)/5 =(x-2)/3
The solution is x=-17/2