Solve for x
x=1
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\left(x+2\right)\times 2=\left(3x-1\right)\times 3
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(3x-1\right)\left(x+2\right), the least common multiple of 3x-1,x+2.
2x+4=\left(3x-1\right)\times 3
Use the distributive property to multiply x+2 by 2.
2x+4=9x-3
Use the distributive property to multiply 3x-1 by 3.
2x+4-9x=-3
Subtract 9x from both sides.
-7x+4=-3
Combine 2x and -9x to get -7x.
-7x=-3-4
Subtract 4 from both sides.
-7x=-7
Subtract 4 from -3 to get -7.
x=\frac{-7}{-7}
Divide both sides by -7.
x=1
Divide -7 by -7 to get 1.
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