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7x+2+2\times 5x=8
Multiply both sides of the equation by 12, the least common multiple of 12,6,3.
7x+2+10x=8
Multiply 2 and 5 to get 10.
17x+2=8
Combine 7x and 10x to get 17x.
17x=8-2
Subtract 2 from both sides.
17x=6
Subtract 2 from 8 to get 6.
x=\frac{6}{17}
Divide both sides by 17.