Solve for x
x=-9
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\left(x+3\right)\times 7=\left(2x-3\right)\times 2
Variable x cannot be equal to any of the values -3,\frac{3}{2} since division by zero is not defined. Multiply both sides of the equation by \left(2x-3\right)\left(x+3\right), the least common multiple of 2x-3,x+3.
7x+21=\left(2x-3\right)\times 2
Use the distributive property to multiply x+3 by 7.
7x+21=4x-6
Use the distributive property to multiply 2x-3 by 2.
7x+21-4x=-6
Subtract 4x from both sides.
3x+21=-6
Combine 7x and -4x to get 3x.
3x=-6-21
Subtract 21 from both sides.
3x=-27
Subtract 21 from -6 to get -27.
x=\frac{-27}{3}
Divide both sides by 3.
x=-9
Divide -27 by 3 to get -9.
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