5) (46x-57):3=27; 6) (19x+62):15=13.

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5)

(46x - 57) / 3 = 27

Multiply both sides by 3 to get rid of the fraction:

46x - 57 = 81

Add 57 to both sides:

46x = 138

Now, divide by 46 to solve for x:

x = 138 / 46
x = 3

Therefore, x = 3

6)

(19x + 62) / 15 = 13

Multiply both sides by 15:

19x + 62 = 195

Subtract 62 from both sides:

19x = 133

Now, divide by 19 to solve for x:

x = 133 / 19
x = 7

Therefore, x = 7