\{ ( 9 + x ) : x = 8 : 2
Solve for x
x=3
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2\left(9+x\right)=x\times 8
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 2x, the least common multiple of x,2.
18+2x=x\times 8
Use the distributive property to multiply 2 by 9+x.
18+2x-x\times 8=0
Subtract x\times 8 from both sides.
18-6x=0
Combine 2x and -x\times 8 to get -6x.
-6x=-18
Subtract 18 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-18}{-6}
Divide both sides by -6.
x=3
Divide -18 by -6 to get 3.
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