Question

Problem number 4: Solve for x.
11x-15=1/2[(32x-3)-15x-13)]

Answer 1

x = 14/5

Explanation:

Solve for x:

11 x - 15 = (17 x - 16)/2

Multiply both sides by 2:

2 (11 x - 15) = 1 (17 x - 16)

(2 (17 x - 16))/2 = 2/2×(17 x - 16) = 17 x - 16:

2 (11 x - 15) = 17 x - 16

Expand out terms of the left hand side:

22 x - 30 = 17 x - 16

Subtract 17 x from both sides:

(22 x - 17 x) - 30 = (17 x - 17 x) - 16

22 x - 17 x = 5 x:

5 x - 30 = (17 x - 17 x) - 16

17 x - 17 x = 0:

5 x - 30 = -16

Add 30 to both sides:

5 x + (30 - 30) = 30 - 16

30 - 30 = 0:

5 x = 30 - 16

30 - 16 = 14:

5 x = 14

Divide both sides of 5 x = 14 by 5:

(5 x)/5 = 14/5

5/5 = 1:

Answer: x = 14/5