What is the answer to (x-2)/4 =(x-3)/5 ?

The answer to (x-2)/4 =(x-3)/5 is x=-2

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(x-2)/4 =(x-3)/5

\frac{x - 2}{4} = \frac{x - 3}{5}

x = - 2

Solution steps

\frac{x - 2}{4} = \frac{x - 3}{5}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(x - 2) \cdot 5 = 4 (x - 3)

Expand

(x - 2) \cdot 5 : 5 x - 10

Expand

4 (x - 3) : 4 x - 12

5 x - 10 = 4 x - 12

Move

10

to the right side

5 x = 4 x - 2

Move

4 x

to the left side

x = - 2

m^{2} = 5 m

w^{2} - 8 w + 7 = 0

3 h^{2} = h^{2} + 18

a^{3} - m^{3} n^{9}

\frac{3}{5} + \frac{7}{4}