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

The answer to (x+3)/4 =(x+4)/5 is x=1

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(x+3)/4 =(x+4)/5

\frac{x + 3}{4} = \frac{x + 4}{5}

x = 1

Solution steps

\frac{x + 3}{4} = \frac{x + 4}{5}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(x + 3) \cdot 5 = 4 (x + 4)

Expand

(x + 3) \cdot 5 : 5 x + 15

Expand

4 (x + 4) : 4 x + 16

5 x + 15 = 4 x + 16

Move

15

to the right side

5 x = 4 x + 1

Move

4 x

to the left side

x = 1

7^{2 n} \geq 5 2^{4 n + 3}

x - 6 > \frac{2}{x}

4 (3 x + 5) = 3 (5 x - 3)

7 (x - 8) = - 35

(a b^{2})^{- 4}