Solve for x
x=5
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\left(x-1\right)\times 3=\left(x+1\right)\times 2
Variable x cannot be equal to any of the values -1,1 since division by zero is not defined. Multiply both sides of the equation by \left(x-1\right)\left(x+1\right), the least common multiple of x+1,x-1.
3x-3=\left(x+1\right)\times 2
Use the distributive property to multiply x-1 by 3.
3x-3=2x+2
Use the distributive property to multiply x+1 by 2.
3x-3-2x=2
Subtract 2x from both sides.
x-3=2
Combine 3x and -2x to get x.
x=2+3
Add 3 to both sides.
x=5
Add 2 and 3 to get 5.
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
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}