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