What is the answer to (2x-5)/5 =(3x-4)/8 ?

The answer to (2x-5)/5 =(3x-4)/8 is x=20

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(2x-5)/5 =(3x-4)/8

\frac{2 x - 5}{5} = \frac{3 x - 4}{8}

x = 20

Solution steps

\frac{2 x - 5}{5} = \frac{3 x - 4}{8}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(2 x - 5) \cdot 8 = 5 (3 x - 4)

Expand

(2 x - 5) \cdot 8 : 16 x - 40

Expand

5 (3 x - 4) : 15 x - 20

16 x - 40 = 15 x - 20

Move

40

to the right side

16 x = 15 x + 20

Move

15 x

to the left side

x = 20

y, 6 x - y = 4

y, 6 x - y = 1

10 - 5 x = 5 x - 20

F = \frac{38 + 2}{8 ^{2} - 38 + 2}

What is the answer to (2x-5)/5 =(3x-4)/8 ?
The answer to (2x-5)/5 =(3x-4)/8 is x=20
Solve for x: (2x-5)/5 =(3x-4)/8
The solution is x=20