Solve for x
x=\frac{5}{7}\approx 0.714285714
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\left(1-x\right)\times 5-2x=0
Variable x cannot be equal to 1 since division by zero is not defined. Multiply both sides of the equation by 2\left(x-1\right)^{2}, the least common multiple of 2-2x,x^{2}-2x+1.
5-5x-2x=0
Use the distributive property to multiply 1-x by 5.
5-7x=0
Combine -5x and -2x to get -7x.
-7x=-5
Subtract 5 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-5}{-7}
Divide both sides by -7.
x=\frac{5}{7}
Fraction \frac{-5}{-7} can be simplified to \frac{5}{7} by removing the negative sign from both the numerator and the denominator.
Examples
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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
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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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