What is the answer to (nx-a)/2 =((x+a))/3 ?

The answer to (nx-a)/2 =((x+a))/3 is x=(5a)/(3n-2);\quad n\ne 2/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(nx-a)/2 =((x+a))/3

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

x = \frac{5 a}{3 n - 2}; n \neq = \frac{2}{3}

Solution steps

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

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(n x - a) \cdot 3 = 2 (x + a)

Expand

(n x - a) \cdot 3 : 3 n x - 3 a

Expand

2 (x + a) : 2 x + 2 a

3 n x - 3 a = 2 x + 2 a

Move

3 a

to the right side

3 n x = 2 x + 5 a

Move

2 x

to the left side

3 n x - 2 x = 5 a

Factor

3 n x - 2 x : x (3 n - 2)

x (3 n - 2) = 5 a

Divide both sides by

3 n - 2; n \neq = \frac{2}{3}

x = \frac{5 a}{3 n - 2}; n \neq = \frac{2}{3}

(x + 5) 2 + 7 = (x - 2) 2

\frac{7}{2} x + \frac{8}{5} = \frac{1}{3} x - \frac{2}{5}

3 x - 2 = 5 - 9 x

t, y = x \cdot h

w, a = 2 (l + w)

What is the answer to (nx-a)/2 =((x+a))/3 ?
The answer to (nx-a)/2 =((x+a))/3 is x=(5a)/(3n-2);\quad n\ne 2/3