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2\times 3x-4=6+x
Multiply both sides of the equation by 8, the least common multiple of 4,2,8.
6x-4=6+x
Multiply 2 and 3 to get 6.
6x-4-x=6
Subtract x from both sides.
5x-4=6
Combine 6x and -x to get 5x.
5x=6+4
Add 4 to both sides.
5x=10
Add 6 and 4 to get 10.
x=\frac{10}{5}
Divide both sides by 5.
x=2
Divide 10 by 5 to get 2.