Solve for x
x=19
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3\left(x-9\right)=2\left(x-4\right)
Variable x cannot be equal to 4 since division by zero is not defined. Multiply both sides of the equation by 3\left(x-4\right), the least common multiple of x-4,3.
3x-27=2\left(x-4\right)
Use the distributive property to multiply 3 by x-9.
3x-27=2x-8
Use the distributive property to multiply 2 by x-4.
3x-27-2x=-8
Subtract 2x from both sides.
x-27=-8
Combine 3x and -2x to get x.
x=-8+27
Add 27 to both sides.
x=19
Add -8 and 27 to get 19.
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