Solve for n
n=6\left(y-2x\right)
Solve for x
x=\frac{y}{2}-\frac{n}{12}
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-n+2y=12x-4y
Multiply both sides of the equation by 4.
-n=12x-4y-2y
Subtract 2y from both sides.
-n=12x-6y
Combine -4y and -2y to get -6y.
\frac{-n}{-1}=\frac{12x-6y}{-1}
Divide both sides by -1.
n=\frac{12x-6y}{-1}
Dividing by -1 undoes the multiplication by -1.
n=6y-12x
Divide 12x-6y by -1.
-n+2y=12x-4y
Multiply both sides of the equation by 4.
12x-4y=-n+2y
Swap sides so that all variable terms are on the left hand side.
12x=-n+2y+4y
Add 4y to both sides.
12x=-n+6y
Combine 2y and 4y to get 6y.
12x=6y-n
The equation is in standard form.
\frac{12x}{12}=\frac{6y-n}{12}
Divide both sides by 12.
x=\frac{6y-n}{12}
Dividing by 12 undoes the multiplication by 12.
x=\frac{y}{2}-\frac{n}{12}
Divide -n+6y by 12.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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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}