Answer:
x = 6
Step-by-step explanation:
Solve for x:
36 (x - 5) = 9 x - 18
Expand out terms of the left hand side:
36 x - 180 = 9 x - 18
Subtract 9 x from both sides:
(36 x - 9 x) - 180 = (9 x - 9 x) - 18
36 x - 9 x = 27 x:
27 x - 180 = (9 x - 9 x) - 18
9 x - 9 x = 0:
27 x - 180 = -18
Add 180 to both sides:
27 x + (180 - 180) = 180 - 18
180 - 180 = 0:
27 x = 180 - 18
180 - 18 = 162:
27 x = 162
Divide both sides of 27 x = 162 by 27:
(27 x)/27 = 162/27
27/27 = 1:
x = 162/27
The gcd of 162 and 27 is 27, so 162/27 = (27×6)/(27×1) = 27/27×6 = 6:
Answer: x = 6
