Solve for x
x = -\frac{114}{77} = -1\frac{37}{77} \approx -1.480519481
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20x+20\left(x+2\right)\times 3=3\left(x+2\right)
Variable x cannot be equal to -2 since division by zero is not defined. Multiply both sides of the equation by 20\left(x+2\right), the least common multiple of x+2,20.
20x+60\left(x+2\right)=3\left(x+2\right)
Multiply 20 and 3 to get 60.
20x+60x+120=3\left(x+2\right)
Use the distributive property to multiply 60 by x+2.
80x+120=3\left(x+2\right)
Combine 20x and 60x to get 80x.
80x+120=3x+6
Use the distributive property to multiply 3 by x+2.
80x+120-3x=6
Subtract 3x from both sides.
77x+120=6
Combine 80x and -3x to get 77x.
77x=6-120
Subtract 120 from both sides.
77x=-114
Subtract 120 from 6 to get -114.
x=\frac{-114}{77}
Divide both sides by 77.
x=-\frac{114}{77}
Fraction \frac{-114}{77} can be rewritten as -\frac{114}{77} by extracting the negative sign.
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