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6x+13\times 4=312
Multiply both sides of the equation by 78, the least common multiple of 13,6.
6x+52=312
Multiply 13 and 4 to get 52.
6x=312-52
Subtract 52 from both sides.
6x=260
Subtract 52 from 312 to get 260.
x=\frac{260}{6}
Divide both sides by 6.
x=\frac{130}{3}
Reduce the fraction \frac{260}{6} to lowest terms by extracting and canceling out 2.