Solve for x
x = \frac{27}{8} = 3\frac{3}{8} = 3.375
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9+2=\left(x-2\right)\times 9+\left(x-2\right)\left(-1\right)
Variable x cannot be equal to 2 since division by zero is not defined. Multiply both sides of the equation by x-2.
11=\left(x-2\right)\times 9+\left(x-2\right)\left(-1\right)
Add 9 and 2 to get 11.
11=9x-18+\left(x-2\right)\left(-1\right)
Use the distributive property to multiply x-2 by 9.
11=9x-18-x+2
Use the distributive property to multiply x-2 by -1.
11=8x-18+2
Combine 9x and -x to get 8x.
11=8x-16
Add -18 and 2 to get -16.
8x-16=11
Swap sides so that all variable terms are on the left hand side.
8x=11+16
Add 16 to both sides.
8x=27
Add 11 and 16 to get 27.
x=\frac{27}{8}
Divide both sides by 8.
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