What is the answer to (3x-8)/2 =(6x-5)/5 ?

The answer to (3x-8)/2 =(6x-5)/5 is x=10

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(3x-8)/2 =(6x-5)/5

\frac{3 x - 8}{2} = \frac{6 x - 5}{5}

x = 10

Solution steps

\frac{3 x - 8}{2} = \frac{6 x - 5}{5}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(3 x - 8) \cdot 5 = 2 (6 x - 5)

Expand

(3 x - 8) \cdot 5 : 15 x - 40

Expand

2 (6 x - 5) : 12 x - 10

15 x - 40 = 12 x - 10

Move

40

to the right side

15 x = 12 x + 30

Move

12 x

to the left side

3 x = 30

Divide both sides by

3

x = 10

y, 3 x - 4 y + 5 = 0

x, 272 = 80 x + 90 x

y, 4 x - 5 y = - 20

y, 8 x + 6 y = - 6

y, 5 x - 2 y = x + 14

What is the answer to (3x-8)/2 =(6x-5)/5 ?
The answer to (3x-8)/2 =(6x-5)/5 is x=10
Solve for x: (3x-8)/2 =(6x-5)/5
The solution is x=10