Solve for n
n=-2
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3\left(2n-5\right)+8=5n-9
Multiply both sides of the equation by 6, the least common multiple of 2,3,6.
6n-15+8=5n-9
Use the distributive property to multiply 3 by 2n-5.
6n-7=5n-9
Add -15 and 8 to get -7.
6n-7-5n=-9
Subtract 5n from both sides.
n-7=-9
Combine 6n and -5n to get n.
n=-9+7
Add 7 to both sides.
n=-2
Add -9 and 7 to get -2.
Examples
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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
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Limits
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