Solve for x
x=6
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6x-21-5\left(2x-9\right)=0
Use the distributive property to multiply 3 by 2x-7.
6x-21-10x+45=0
Use the distributive property to multiply -5 by 2x-9.
-4x-21+45=0
Combine 6x and -10x to get -4x.
-4x+24=0
Add -21 and 45 to get 24.
-4x=-24
Subtract 24 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-24}{-4}
Divide both sides by -4.
x=6
Divide -24 by -4 to get 6.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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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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