X=5/7
Simplify the right side of the equation by distributing the 1/2 :
3(x-2)+7x=1/2(6x-2)
3x-6+7x=3x-1
Combine like terms on both sides of the equation:
10x-6=3x-1
Add 6 to both sides of the equation:
10x=3x+5
Subtract 3x from both sides of the equation
7x=5
Finally, divide both sides of the equation by 7:
X=5/7
Therefore the solution is x=5/7.