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7x-8=2\times 3x
Multiply both sides of the equation by 4, the least common multiple of 4,2.
7x-8=6x
Multiply 2 and 3 to get 6.
7x-8-6x=0
Subtract 6x from both sides.
x-8=0
Combine 7x and -6x to get x.
x=8
Add 8 to both sides. Anything plus zero gives itself.