What is the answer to (3x-1)/4 = x/5 ?

The answer to (3x-1)/4 = x/5 is x= 5/11

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(3x-1)/4 = x/5

\frac{3 x - 1}{4} = \frac{x}{5}

x = \frac{5}{11}

Decimal Notation

x = 0.45454 \dots

Solution steps

\frac{3 x - 1}{4} = \frac{x}{5}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(3 x - 1) \cdot 5 = 4 x

Expand

(3 x - 1) \cdot 5 : 15 x - 5

15 x - 5 = 4 x

Move

5

to the right side

15 x = 4 x + 5

Move

4 x

to the left side

11 x = 5

Divide both sides by

11

x = \frac{5}{11}

x, - y + 5 x = 0

x, 2 x + 2 y = 12

7 x = - 21

x, 2 x + 2 y = - 6

2 (x - 3) + 3 = 6 x - 5