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

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

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(3x+4)/5 =(3x-2)/2

\frac{3 x + 4}{5} = \frac{3 x - 2}{2}

x = 2

Solution steps

\frac{3 x + 4}{5} = \frac{3 x - 2}{2}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(3 x + 4) \cdot 2 = 5 (3 x - 2)

Expand

(3 x + 4) \cdot 2 : 6 x + 8

Expand

5 (3 x - 2) : 15 x - 10

6 x + 8 = 15 x - 10

Move

8

to the right side

6 x = 15 x - 18

Move

15 x

to the left side

- 9 x = - 18

Divide both sides by

- 9

x = 2

(x - 22) (x + a) = x^{2} + 66 x - 22 a

x, 2 y + \frac{x}{3} = - 6

3 x - 1 = 3

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

x, 7 x + y = - 3

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