What is the answer to (14-x+2)/(20)=(x+2)/(15) ?

The answer to (14-x+2)/(20)=(x+2)/(15) is x= 40/7

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(14-x+2)/(20)=(x+2)/(15)

\frac{14 - x + 2}{20} = \frac{x + 2}{15}

x = \frac{40}{7}

Decimal Notation

x = 5.71428 \dots

Solution steps

\frac{14 - x + 2}{20} = \frac{x + 2}{15}

Multiply both sides by

10

\frac{- x + 16}{2} = \frac{2 ( x + 2 )}{3}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(- x + 16) \cdot 3 = 2 \cdot 2 (x + 2)

Simplify

(- x + 16) \cdot 3 = 4 (x + 2)

Expand

(- x + 16) \cdot 3 : - 3 x + 48

Expand

4 (x + 2) : 4 x + 8

- 3 x + 48 = 4 x + 8

Move

48

to the right side

- 3 x = 4 x - 40

Move

4 x

to the left side

- 7 x = - 40

Divide both sides by

- 7

x = \frac{40}{7}

lo g_{64} (\frac{1}{16})

(- \frac{15}{7}) - (- \frac{7}{5})

16 - \frac{16}{3}

r^{2} - 8 r + 9 = 0

8 \cdot 5

What is the answer to (14-x+2)/(20)=(x+2)/(15) ?
The answer to (14-x+2)/(20)=(x+2)/(15) is x= 40/7
Solve for x: (14-x+2)/(20)=(x+2)/(15)
The solution is x= 40/7