Answer:
x = 51
Step-by-step explanation:
Solve for x:
(3 x + 2)/5 = 31
Multiply both sides of (3 x + 2)/5 = 31 by 5:
1 (3 x + 2) = 5×31
(5 (3 x + 2))/5 = 5/5×(3 x + 2) = 3 x + 2:
3 x + 2 = 5×31
5×31 = 155:
3 x + 2 = 155
Subtract 2 from both sides:
3 x + (2 - 2) = 155 - 2
2 - 2 = 0:
3 x = 155 - 2
155 - 2 = 153:
3 x = 153
Divide both sides of 3 x = 153 by 3:
(3 x)/3 = 153/3
3/3 = 1:
x = 153/3
The gcd of 153 and 3 is 3, so 153/3 = (3×51)/(3×1) = 3/3×51 = 51:
Answer: x = 51
