What is the answer to (3x-2)/7 =(5x+1)/(16) ?

The answer to (3x-2)/7 =(5x+1)/(16) is x=3

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(3x-2)/7 =(5x+1)/(16)

\frac{3 x - 2}{7} = \frac{5 x + 1}{16}

x = 3

Solution steps

\frac{3 x - 2}{7} = \frac{5 x + 1}{16}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(3 x - 2) \cdot 16 = 7 (5 x + 1)

Expand

(3 x - 2) \cdot 16 : 48 x - 32

Expand

7 (5 x + 1) : 35 x + 7

48 x - 32 = 35 x + 7

Move

32

to the right side

48 x = 35 x + 39

Move

35 x

to the left side

13 x = 39

Divide both sides by

13

x = 3

a, 5 a + 9 b = 109

a = ((6 4^{9})^{- 4 - 2})^{- 1}

m, - ∣ x ∣^{3} + 3 ∣ x ∣ - 2 - m = 0

x, f = 6 x + 4 f (f (0))

\frac{( x + 4 )}{5} - \frac{( x - 3 )}{4} = \frac{22}{5} - \frac{( x + 2 )}{5}

What is the answer to (3x-2)/7 =(5x+1)/(16) ?
The answer to (3x-2)/7 =(5x+1)/(16) is x=3
Solve for x: (3x-2)/7 =(5x+1)/(16)
The solution is x=3