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5x+3=8+\left(x-2\right)\times 6
Multiply 2 and 4 to get 8.
5x+3=8+6x-12
Use the distributive property to multiply x-2 by 6.
5x+3=-4+6x
Subtract 12 from 8 to get -4.
5x+3-6x=-4
Subtract 6x from both sides.
-x+3=-4
Combine 5x and -6x to get -x.
-x=-4-3
Subtract 3 from both sides.
-x=-7
Subtract 3 from -4 to get -7.
x=7
Multiply both sides by -1.