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

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

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

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

x = - \frac{1}{2}

Decimal Notation

x = - 0.5

Solution steps

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

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

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

Expand

(3 x - 1) \cdot 3 : 9 x - 3

Expand

5 (x - 1) : 5 x - 5

9 x - 3 = 5 x - 5

Move

3

to the right side

9 x = 5 x - 2

Move

5 x

to the left side

4 x = - 2

Divide both sides by

4

x = - \frac{1}{2}

E = 10 g h

- (x + 12) = - 3 x + 2

h (p) = \frac{p - 5}{p ^{2} + 5}

\frac{1}{3} (x - \frac{3}{4}) = - \frac{31}{12}

c + 3 c + 2 = 5 c - 1

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