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3x=\left(x-2\right)\times 7+10
Variable x cannot be equal to 2 since division by zero is not defined. Multiply both sides of the equation by x-2.
3x=7x-14+10
Use the distributive property to multiply x-2 by 7.
3x=7x-4
Add -14 and 10 to get -4.
3x-7x=-4
Subtract 7x from both sides.
-4x=-4
Combine 3x and -7x to get -4x.
x=\frac{-4}{-4}
Divide both sides by -4.
x=1
Divide -4 by -4 to get 1.