Solve for x
x=3
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2=9\times 2+9\left(x+5\right)\left(-\frac{2}{9}\right)
Variable x cannot be equal to -5 since division by zero is not defined. Multiply both sides of the equation by 9\left(x+5\right), the least common multiple of 9x+45,x+5,9.
2=18+9\left(x+5\right)\left(-\frac{2}{9}\right)
Multiply 9 and 2 to get 18.
2=18-2\left(x+5\right)
Multiply 9 and -\frac{2}{9} to get -2.
2=18-2x-10
Use the distributive property to multiply -2 by x+5.
2=8-2x
Subtract 10 from 18 to get 8.
8-2x=2
Swap sides so that all variable terms are on the left hand side.
-2x=2-8
Subtract 8 from both sides.
-2x=-6
Subtract 8 from 2 to get -6.
x=\frac{-6}{-2}
Divide both sides by -2.
x=3
Divide -6 by -2 to get 3.
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