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

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

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

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

x = 2

Solution steps

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

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

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

Expand

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

Expand

2 (2 - x) : 4 - 2 x

3 x - 6 = 4 - 2 x

Move

6

to the right side

3 x = - 2 x + 10

Move

2 x

to the left side

5 x = 10

Divide both sides by

5

x = 2

6 p^{2} + 25 p - 119 = 0

p^{2} + 2 p - 35

15 c^{- 8} d^{0}

- 1 \leq \frac{t}{2} + 1

\frac{3}{4} - \frac{7}{10}