What is the answer to ((x+4))/2 =((x+6))/4 ?

The answer to ((x+4))/2 =((x+6))/4 is x=-2

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((x+4))/2 =((x+6))/4

\frac{( x + 4 )}{2} = \frac{( x + 6 )}{4}

x = - 2

Solution steps

\frac{( x + 4 )}{2} = \frac{( x + 6 )}{4}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(x + 4) \cdot 4 = 2 (x + 6)

Expand

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

Expand

2 (x + 6) : 2 x + 12

4 x + 16 = 2 x + 12

Move

16

to the right side

4 x = 2 x - 4

Move

2 x

to the left side

2 x = - 4

Divide both sides by

2

x = - 2

- 4 = - 17 + x

- 13 = 5 + x

6 (2 y + 3) - 4 (y - 5) = 0

3 x - 25 = - 2 x

2 x + 0 = 5

What is the answer to ((x+4))/2 =((x+6))/4 ?
The answer to ((x+4))/2 =((x+6))/4 is x=-2
Solve for x: ((x+4))/2 =((x+6))/4
The solution is x=-2