Solve for x
x=-22
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10\left(x+3+1\right)=9\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 10\left(x+2\right), the least common multiple of x+1\times 2,10.
10\left(x+4\right)=9\left(x+2\right)
Add 3 and 1 to get 4.
10x+40=9\left(x+2\right)
Use the distributive property to multiply 10 by x+4.
10x+40=9x+18
Use the distributive property to multiply 9 by x+2.
10x+40-9x=18
Subtract 9x from both sides.
x+40=18
Combine 10x and -9x to get x.
x=18-40
Subtract 40 from both sides.
x=-22
Subtract 40 from 18 to get -22.
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