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\left(x-2\right)\times 7=\left(3x+3\right)\times 2
Variable x cannot be equal to any of the values -1,2 since division by zero is not defined. Multiply both sides of the equation by 3\left(x-2\right)\left(x+1\right), the least common multiple of 3x+3,x-2.
7x-14=\left(3x+3\right)\times 2
Use the distributive property to multiply x-2 by 7.
7x-14=6x+6
Use the distributive property to multiply 3x+3 by 2.
7x-14-6x=6
Subtract 6x from both sides.
x-14=6
Combine 7x and -6x to get x.
x=6+14
Add 14 to both sides.
x=20
Add 6 and 14 to get 20.