Solve for m
m=2x+n
Solve for n
n=m-2x
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-m=x-n-3x
Subtract 3x from both sides.
-m=-2x-n
Combine x and -3x to get -2x.
\frac{-m}{-1}=\frac{-2x-n}{-1}
Divide both sides by -1.
m=\frac{-2x-n}{-1}
Dividing by -1 undoes the multiplication by -1.
m=2x+n
Divide -2x-n by -1.
x-n=3x-m
Swap sides so that all variable terms are on the left hand side.
-n=3x-m-x
Subtract x from both sides.
-n=2x-m
Combine 3x and -x to get 2x.
\frac{-n}{-1}=\frac{2x-m}{-1}
Divide both sides by -1.
n=\frac{2x-m}{-1}
Dividing by -1 undoes the multiplication by -1.
n=m-2x
Divide 2x-m by -1.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}