Solve for x
x=22
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\left(x-3\right)\times 3=\left(x-19\right)\times 19
Variable x cannot be equal to any of the values 3,19 since division by zero is not defined. Multiply both sides of the equation by \left(x-19\right)\left(x-3\right), the least common multiple of x-19,x-3.
3x-9=\left(x-19\right)\times 19
Use the distributive property to multiply x-3 by 3.
3x-9=19x-361
Use the distributive property to multiply x-19 by 19.
3x-9-19x=-361
Subtract 19x from both sides.
-16x-9=-361
Combine 3x and -19x to get -16x.
-16x=-361+9
Add 9 to both sides.
-16x=-352
Add -361 and 9 to get -352.
x=\frac{-352}{-16}
Divide both sides by -16.
x=22
Divide -352 by -16 to get 22.
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