Question

How do i solve this absolute value equation
2|5x|= 10?

Answer 1

Explanation:

● 2|5x| = 10

● 2 × |5| ×x = 10

5 is positive so |5| = 5

● 2×5× |x| = 10

● 10×|x| = 10

● |x| = 10

● x = 1 or x = -1

Answer 2

x=1 x = -1

Explanation:

2|5x|= 10

Divide each side by 2

2/2|5x|= 10/2

|5x|= 5

Absolute values have 2 solutions, one positive and one negative

5x = 5 5x = -5

Divide each side by 5

5x/5 = 5/5 5x/5 = -5/5

x = 1 x = -1