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

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

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

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

x = - \frac{1}{2}

Decimal Notation

x = - 0.5

Solution steps

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

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

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

Expand

(x + 2) \cdot 5 : 5 x + 10

Expand

3 (3 x + 4) : 9 x + 12

5 x + 10 = 9 x + 12

Move

10

to the right side

5 x = 9 x + 2

Move

9 x

to the left side

- 4 x = 2

Divide both sides by

- 4

x = - \frac{1}{2}

\frac{6 x}{2} = 27

3 x - 9 = 5 x - 4

\frac{( - 2 x + 1 ) \cdot 3 - 10}{2} = 3 (x + 1) - (\frac{12}{6}) (- x + 2)

27.93 = (x \cdot 0.3) 9.8

3 (4 - 2 x) = - x + 1

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