What is the answer to (2x-1)/3 =(5x-6)/4 ?

The answer to (2x-1)/3 =(5x-6)/4 is x=2

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(2x-1)/3 =(5x-6)/4

\frac{2 x - 1}{3} = \frac{5 x - 6}{4}

x = 2

Solution steps

\frac{2 x - 1}{3} = \frac{5 x - 6}{4}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(2 x - 1) \cdot 4 = 3 (5 x - 6)

Expand

(2 x - 1) \cdot 4 : 8 x - 4

Expand

3 (5 x - 6) : 15 x - 18

8 x - 4 = 15 x - 18

Move

4

to the right side

8 x = 15 x - 14

Move

15 x

to the left side

- 7 x = - 14

Divide both sides by

- 7

x = 2

(9 x)^{\frac{1}{2}} \cdot (4 x^{\frac{1}{4}})

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

x^{3} - x^{2} - 4 x + 4

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

k = 10 (- 7) - 19

What is the answer to (2x-1)/3 =(5x-6)/4 ?
The answer to (2x-1)/3 =(5x-6)/4 is x=2
Solve for x: (2x-1)/3 =(5x-6)/4
The solution is x=2