Solve for x
x=9
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\left(x-3\right)\times 3=\left(x-4\right)\times 2+8
Variable x cannot be equal to any of the values 3,4 since division by zero is not defined. Multiply both sides of the equation by \left(x-4\right)\left(x-3\right), the least common multiple of x-4,x-3,x^{2}-7x+12.
3x-9=\left(x-4\right)\times 2+8
Use the distributive property to multiply x-3 by 3.
3x-9=2x-8+8
Use the distributive property to multiply x-4 by 2.
3x-9=2x
Add -8 and 8 to get 0.
3x-9-2x=0
Subtract 2x from both sides.
x-9=0
Combine 3x and -2x to get x.
x=9
Add 9 to both sides. Anything plus zero gives itself.
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