Solve for x
x=\frac{1}{2}=0.5
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6x-4+5=2-4\left(x-1\right)
Use the distributive property to multiply 2 by 3x-2.
6x+1=2-4\left(x-1\right)
Add -4 and 5 to get 1.
6x+1=2-4x+4
Use the distributive property to multiply -4 by x-1.
6x+1=6-4x
Add 2 and 4 to get 6.
6x+1+4x=6
Add 4x to both sides.
10x+1=6
Combine 6x and 4x to get 10x.
10x=6-1
Subtract 1 from both sides.
10x=5
Subtract 1 from 6 to get 5.
x=\frac{5}{10}
Divide both sides by 10.
x=\frac{1}{2}
Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.
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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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