Solve for n
n=5
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7\times 4=2\left(n+9\right)
Variable n cannot be equal to -9 since division by zero is not defined. Multiply both sides of the equation by 7\left(n+9\right), the least common multiple of n+9,7.
28=2\left(n+9\right)
Multiply 7 and 4 to get 28.
28=2n+18
Use the distributive property to multiply 2 by n+9.
2n+18=28
Swap sides so that all variable terms are on the left hand side.
2n=28-18
Subtract 18 from both sides.
2n=10
Subtract 18 from 28 to get 10.
n=\frac{10}{2}
Divide both sides by 2.
n=5
Divide 10 by 2 to get 5.
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
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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
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