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

The answer to (x+2)/2 =(x-2)/3 is x=-10

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

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

x = - 10

Solution steps

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

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

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

Expand

(x + 2) \cdot 3 : 3 x + 6

Expand

2 (x - 2) : 2 x - 4

3 x + 6 = 2 x - 4

Move

6

to the right side

3 x = 2 x - 10

Move

2 x

to the left side

x = - 10

8 x + 4 = 3 (4 - x)

4 y - 6 = 2 (2 y - 3)

(x - 2)^{2} = (x - 1) (x - 2)

19 = - 9 x - 5 + 6 x

3 (x + 4) = 4 x + 1

What is the answer to (x+2)/2 =(x-2)/3 ?
The answer to (x+2)/2 =(x-2)/3 is x=-10
Solve for x: (x+2)/2 =(x-2)/3
The solution is x=-10