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

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

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

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

x = 10

Solution steps

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

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

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

Expand

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

Expand

3 (x - 2) : 3 x - 6

2 x + 4 = 3 x - 6

Move

4

to the right side

2 x = 3 x - 10

Move

3 x

to the left side

- x = - 10

Divide both sides by

- 1

x = 10

\frac{3 x - 1}{5} = \frac{x - 1}{3}

E = 10 g h

- (x + 12) = - 3 x + 2

h (p) = \frac{p - 5}{p ^{2} + 5}

\frac{1}{3} (x - \frac{3}{4}) = - \frac{31}{12}