Solve : |1/5x - 7 | =4

x = 55 or x = 15

Step-by-step explanation:

Solve Absolute Value.

We know that either 1/5x - 7 = 4 or 1/5x - 7 = -4.

1/5x - 7 = 4

1/5x - 7 + 7 = 4 + 7

1/5x = 11

1/5x (5) = 11 (5)

x = 55 (one possibility)

1/5x - 7 = -4

1/5x - 7 + 7 = -4 + 7

1/5x = 3

1/5x (5) = 3 (5)

x = 15 (second possibility)

for this case we must apply distributive property to the following expression:

the distributive property states that:

then, when applying the property we have to multiply the -2 for each term within the parenthesis: