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

The answer to (x+4)/5 =(x-3)/4 is x=31

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

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

x = 31

Solution steps

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

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

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

Expand

(x + 4) \cdot 4 : 4 x + 16

Expand

5 (x - 3) : 5 x - 15

4 x + 16 = 5 x - 15

Move

16

to the right side

4 x = 5 x - 31

Move

5 x

to the left side

- x = - 31

Divide both sides by

- 1

x = 31

a^{2} + a^{3} + a^{4}

(\frac{2 ^{\frac{3}{4}}}{2 ^{\frac{1}{4}}})^{6}

\frac{( n + 3 ) !}{n !}

2 x^{2} - 22 x + 48

\frac{7}{12}