Solve for x
x=-12
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\left(x+2\right)\times 7=\left(3x+1\right)\times 2
Variable x cannot be equal to any of the values -2,-\frac{1}{3} since division by zero is not defined. Multiply both sides of the equation by \left(x+2\right)\left(3x+1\right), the least common multiple of 3x+1,x+2.
7x+14=\left(3x+1\right)\times 2
Use the distributive property to multiply x+2 by 7.
7x+14=6x+2
Use the distributive property to multiply 3x+1 by 2.
7x+14-6x=2
Subtract 6x from both sides.
x+14=2
Combine 7x and -6x to get x.
x=2-14
Subtract 14 from both sides.
x=-12
Subtract 14 from 2 to get -12.
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