Solve for x
x=10
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\left(x-4\right)\times 8-\left(x-5\right)\times 9=3
Variable x cannot be equal to any of the values 4,5 since division by zero is not defined. Multiply both sides of the equation by \left(x-5\right)\left(x-4\right), the least common multiple of x-5,x-4,x^{2}-9x+20.
8x-32-\left(x-5\right)\times 9=3
Use the distributive property to multiply x-4 by 8.
8x-32-\left(9x-45\right)=3
Use the distributive property to multiply x-5 by 9.
8x-32-9x+45=3
To find the opposite of 9x-45, find the opposite of each term.
-x-32+45=3
Combine 8x and -9x to get -x.
-x+13=3
Add -32 and 45 to get 13.
-x=3-13
Subtract 13 from both sides.
-x=-10
Subtract 13 from 3 to get -10.
x=10
Multiply both sides by -1.
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