Solve for x
x=4
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\left(x-5\right)\times 5+x=x-5
Variable x cannot be equal to any of the values 0,5 since division by zero is not defined. Multiply both sides of the equation by x\left(x-5\right), the least common multiple of x,x-5.
5x-25+x=x-5
Use the distributive property to multiply x-5 by 5.
6x-25=x-5
Combine 5x and x to get 6x.
6x-25-x=-5
Subtract x from both sides.
5x-25=-5
Combine 6x and -x to get 5x.
5x=-5+25
Add 25 to both sides.
5x=20
Add -5 and 25 to get 20.
x=\frac{20}{5}
Divide both sides by 5.
x=4
Divide 20 by 5 to get 4.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
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Matrix
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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}