Solve for x
x = -\frac{5}{3} = -1\frac{2}{3} \approx -1.666666667
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\left(x-1\right)\times 5=x\times 8
Variable x cannot be equal to any of the values 0,1 since division by zero is not defined. Multiply both sides of the equation by x\left(x-1\right), the least common multiple of x,x-1.
5x-5=x\times 8
Use the distributive property to multiply x-1 by 5.
5x-5-x\times 8=0
Subtract x\times 8 from both sides.
-3x-5=0
Combine 5x and -x\times 8 to get -3x.
-3x=5
Add 5 to both sides. Anything plus zero gives itself.
x=\frac{5}{-3}
Divide both sides by -3.
x=-\frac{5}{3}
Fraction \frac{5}{-3} can be rewritten as -\frac{5}{3} by extracting the negative sign.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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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
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Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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