Solve for x
x=1
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x+5-3x\times 2=0
Variable x cannot be equal to any of the values -5,0 since division by zero is not defined. Multiply both sides of the equation by 3x\left(x+5\right), the least common multiple of 3x,x+5.
x+5-6x=0
Multiply 3 and 2 to get 6.
x-6x=-5
Subtract 5 from both sides. Anything subtracted from zero gives its negation.
-5x=-5
Combine x and -6x to get -5x.
x=\frac{-5}{-5}
Divide both sides by -5.
x=1
Divide -5 by -5 to get 1.
Examples
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4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
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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