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15+12x=1\times 42+5
Multiply both sides of the equation by 42, the least common multiple of 14,7,42.
15+12x=42+5
Multiply 1 and 42 to get 42.
15+12x=47
Add 42 and 5 to get 47.
12x=47-15
Subtract 15 from both sides.
12x=32
Subtract 15 from 47 to get 32.
x=\frac{32}{12}
Divide both sides by 12.
x=\frac{8}{3}
Reduce the fraction \frac{32}{12} to lowest terms by extracting and canceling out 4.