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4+2\times 5x=7
Multiply both sides of the equation by 12, the least common multiple of 3,6,12.
4+10x=7
Multiply 2 and 5 to get 10.
10x=7-4
Subtract 4 from both sides.
10x=3
Subtract 4 from 7 to get 3.
x=\frac{3}{10}
Divide both sides by 10.