Solve for x
x=-6
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\left(x+3\right)\times 7-\left(x+2\right)\times 6=3
Variable x cannot be equal to any of the values -3,-2 since division by zero is not defined. Multiply both sides of the equation by \left(x+2\right)\left(x+3\right), the least common multiple of x+2,x+3,x^{2}+5x+6.
7x+21-\left(x+2\right)\times 6=3
Use the distributive property to multiply x+3 by 7.
7x+21-\left(6x+12\right)=3
Use the distributive property to multiply x+2 by 6.
7x+21-6x-12=3
To find the opposite of 6x+12, find the opposite of each term.
x+21-12=3
Combine 7x and -6x to get x.
x+9=3
Subtract 12 from 21 to get 9.
x=3-9
Subtract 9 from both sides.
x=-6
Subtract 9 from 3 to get -6.
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