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

The answer to (x-2)/3 =(x+2)/4 is x=14

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

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

x = 14

Solution steps

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

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

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

Expand

(x - 2) \cdot 4 : 4 x - 8

Expand

3 (x + 2) : 3 x + 6

4 x - 8 = 3 x + 6

Move

8

to the right side

4 x = 3 x + 14

Move

3 x

to the left side

x = 14

9 x - 2 = 8 x + 7

x, 9 = 8 (x - 4) - 5 (2 + 5 k)

3 v + 4 = 8 v - 6

x, 4 x - 3 y = 23

3 (0) + 4 = 5 y - 2