What is the answer to (4-m)/5 =(2-m)/6 ?

The answer to (4-m)/5 =(2-m)/6 is m=14

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(4-m)/5 =(2-m)/6

\frac{4 - m}{5} = \frac{2 - m}{6}

m = 14

Solution steps

\frac{4 - m}{5} = \frac{2 - m}{6}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(4 - m) \cdot 6 = 5 (2 - m)

Expand

(4 - m) \cdot 6 : 24 - 6 m

Expand

5 (2 - m) : 10 - 5 m

24 - 6 m = 10 - 5 m

Move

24

to the right side

- 6 m = - 5 m - 14

Move

5 m

to the left side

- m = - 14

Divide both sides by

- 1

m = 14

m - 3 = 9

14 \cdot 8

a^{2} - (b + c)^{2}

\frac{6 + 5 2}{4 + 3 2}

8 \cdot \frac{3}{26}