Solve for x
x=-2
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7\left(7-6\right)=\left(x-5\right)\left(-1\right)
Variable x cannot be equal to 5 since division by zero is not defined. Multiply both sides of the equation by 7\left(x-5\right), the least common multiple of x-5,7.
7\times 1=\left(x-5\right)\left(-1\right)
Subtract 6 from 7 to get 1.
7=\left(x-5\right)\left(-1\right)
Multiply 7 and 1 to get 7.
7=-x+5
Use the distributive property to multiply x-5 by -1.
-x+5=7
Swap sides so that all variable terms are on the left hand side.
-x=7-5
Subtract 5 from both sides.
-x=2
Subtract 5 from 7 to get 2.
x=-2
Multiply both sides by -1.
Examples
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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