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102\times 5+68=3x
Multiply both sides of the equation by 102, the least common multiple of 3,34.
510+68=3x
Multiply 102 and 5 to get 510.
578=3x
Add 510 and 68 to get 578.
3x=578
Swap sides so that all variable terms are on the left hand side.
x=\frac{578}{3}
Divide both sides by 3.