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

The answer to (2x+4)/3 =(4x-2)/4 is x= 11/2

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

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

x = \frac{11}{2}

Solution steps

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

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

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

Expand

(2 x + 4) \cdot 4 : 8 x + 16

Expand

3 (4 x - 2) : 12 x - 6

8 x + 16 = 12 x - 6

Move

16

to the right side

8 x = 12 x - 22

Move

12 x

to the left side

- 4 x = - 22

Divide both sides by

- 4

x = \frac{11}{2}

17 - 5 m = 50 + 6 m

45 + 4 m = 61 + 2 m

8 v + 1 = 7 v - 20

8 - 2 (x - 3) = 5 x

b, \frac{v}{2} + \frac{v - b}{5} = 3.1

What is the answer to (2x+4)/3 =(4x-2)/4 ?
The answer to (2x+4)/3 =(4x-2)/4 is x= 11/2
Solve for x: (2x+4)/3 =(4x-2)/4
The solution is x= 11/2