What is the answer to (2x+4)/5 =(3x+5)/7 ?

The answer to (2x+4)/5 =(3x+5)/7 is x=3

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(2x+4)/5 =(3x+5)/7

\frac{2 x + 4}{5} = \frac{3 x + 5}{7}

x = 3

Solution steps

\frac{2 x + 4}{5} = \frac{3 x + 5}{7}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(2 x + 4) \cdot 7 = 5 (3 x + 5)

Expand

(2 x + 4) \cdot 7 : 14 x + 28

Expand

5 (3 x + 5) : 15 x + 25

14 x + 28 = 15 x + 25

Move

28

to the right side

14 x = 15 x - 3

Move

15 x

to the left side

- x = - 3

Divide both sides by

- 1

x = 3

3 n - 14 = 6 n + 22

c = \frac{6 + 18}{31 - 25}

\frac{6 - 8 x}{5} = \frac{3 x - 7}{2}

4 x - 9 x + x + 2 y = - 4 x + 2 y

- 5 + 10 n = 35

What is the answer to (2x+4)/5 =(3x+5)/7 ?
The answer to (2x+4)/5 =(3x+5)/7 is x=3
Solve for x: (2x+4)/5 =(3x+5)/7
The solution is x=3