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

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

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(5x-1)/3 =(3x+1)/5

\frac{5 x - 1}{3} = \frac{3 x + 1}{5}

x = \frac{1}{2}

Solution steps

\frac{5 x - 1}{3} = \frac{3 x + 1}{5}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(5 x - 1) \cdot 5 = 3 (3 x + 1)

Expand

(5 x - 1) \cdot 5 : 25 x - 5

Expand

3 (3 x + 1) : 9 x + 3

25 x - 5 = 9 x + 3

Move

5

to the right side

25 x = 9 x + 8

Move

9 x

to the left side

16 x = 8

Divide both sides by

16

x = \frac{1}{2}

∣ 4 - x ∣ (x - 1) \leq 4

x (x + 14) = (x + 7)^{2}

x^{2} - 2 ∣ x + 1 ∣ - 2 = 0

(x + 4) (x - 3) = 0

\frac{5 x - 9}{4} = - 2

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