en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(x-m)/n =2-(x-n)/m

Solution

\frac{x - m}{n} = 2 - \frac{x - n}{m}

Solution

x = m + n; mn \neq = 0, m \neq = - n

Solution steps

\frac{x - m}{n} = 2 - \frac{x - n}{m}

Multiply by LCM

m (x - m) = 2 mn - n (x - n); mn \neq = 0

Expand

- n (x - n) : - n x + n^{2}

m x - m^{2} = 2 mn - n x + n^{2}

Expand

m (x - m) : m x - m^{2}

m x - m^{2} = 2 mn - n x + n^{2}; mn \neq = 0

Move

m^{2}

to the right side

m x = 2 mn - n x + n^{2} + m^{2}; mn \neq = 0

Move

n x

to the left side

m x + n x = 2 mn + n^{2} + m^{2}; mn \neq = 0

Factor

m x + n x : x (m + n)

x (m + n) = 2 mn + n^{2} + m^{2}; mn \neq = 0

Divide both sides by

m + n; mn \neq = 0, m \neq = - n

x = m + n; mn \neq = 0, m \neq = - n

Popular Examples

(x+2)(x+3)=x^2+4x+13

(x + 2) (x + 3) = x^{2} + 4 x + 13

solvefor x,-2x+y=1 solve for

x, - 2 x + y = 1

solvefor x,5x-2y=9 solve for

x, 5 x - 2 y = 9

2b(2a-x)=x(b-a)+a(x+b)

2 b (2 a - x) = x (b - a) + a (x + b)

solvefor x,4x-y=8 solve for

x, 4 x - y = 8

Frequently Asked Questions (FAQ)

What is the answer to (x-m)/n =2-(x-n)/m ?
The answer to (x-m)/n =2-(x-n)/m is x=m+n;\quad mn\ne 0,m\ne-n