Question

Enter the value for x that makes the equation true
36(x-5)=9x-18

Answer 1

x = 6

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