Question

Help me! What is the answer to this question!? Provide a step by step explanation please.

Answer 1

x = -5 or x= 2

Explanation:

|-4x-6| = 14

There are two solutions, one positive and one negative

-4x-6 = 14 -4x-6 = -14

Add 6 to each side

-4x-6+6 = 14+6 -4x-6+6 = -14+6

-4x = 20 -4x = -8

Divide by -4

-4x/-4 = 20/-4 -4x/-4 = -8/-4

x = -5 x = 2

Answer 2

Now we have to,

find the required value of x.

Given that,

→ |-4x -6| = 14

Let's find the both positive value and negative value,

===================

→ -4x -6 = 14

→ -4x = 14 + 6

→ -4x = 20

→ x = 20/-4

→ [x = -5]

===================

→ -4x -6 = -14

→ -4x = -14 + 6

→ -4x = -8

→ x = -8/-4

→ x = 8/4

→ [x = 2]

===================

Therefore, x is -5 (or) 2 is the answer.