What is the answer to (5n+1)/8 =(3n-5)/4 ?

The answer to (5n+1)/8 =(3n-5)/4 is n=11

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(5n+1)/8 =(3n-5)/4

\frac{5 n + 1}{8} = \frac{3 n - 5}{4}

n = 11

Solution steps

\frac{5 n + 1}{8} = \frac{3 n - 5}{4}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(5 n + 1) \cdot 4 = 8 (3 n - 5)

Expand

(5 n + 1) \cdot 4 : 20 n + 4

Expand

8 (3 n - 5) : 24 n - 40

20 n + 4 = 24 n - 40

Move

4

to the right side

20 n = 24 n - 44

Move

24 n

to the left side

- 4 n = - 44

Divide both sides by

- 4

n = 11

f, g = f + 6

16 m + 5 + 2 m = 5 (2 - m) + 18

c, x y^{2} - 1 = cy

10 x + 5 = - 25

x, x \cdot y = 6

What is the answer to (5n+1)/8 =(3n-5)/4 ?
The answer to (5n+1)/8 =(3n-5)/4 is n=11
Solve for n: (5n+1)/8 =(3n-5)/4
The solution is n=11