What is the answer to (5x-6)/3 =(2x+9)/5 ?

The answer to (5x-6)/3 =(2x+9)/5 is x=3

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(5x-6)/3 =(2x+9)/5

\frac{5 x - 6}{3} = \frac{2 x + 9}{5}

x = 3

Solution steps

\frac{5 x - 6}{3} = \frac{2 x + 9}{5}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(5 x - 6) \cdot 5 = 3 (2 x + 9)

Expand

(5 x - 6) \cdot 5 : 25 x - 30

Expand

3 (2 x + 9) : 6 x + 27

25 x - 30 = 6 x + 27

Move

30

to the right side

25 x = 6 x + 57

Move

6 x

to the left side

19 x = 57

Divide both sides by

19

x = 3

\frac{2}{2} \cdot 4

\frac{x}{2} \geq \frac{3}{x + 1} + 2

\frac{1}{4} n - \frac{3}{8} = \frac{1}{2}

2 (3 x - 8) > x + 14

x^{2} - 20 x + 96

What is the answer to (5x-6)/3 =(2x+9)/5 ?
The answer to (5x-6)/3 =(2x+9)/5 is x=3
Solve for x: (5x-6)/3 =(2x+9)/5
The solution is x=3