Question

1 + 1 2 ⋅ (4x − 6) = −2

Answer 1

x = 1 7/16

Explanation:

1 + 1 2 ⋅ (4x − 6) = −2

Subtract 1 from each side

1-1 + 1 2 ⋅ (4x − 6) = −2-1

1 2 ⋅ (4x − 6) = −3

Distribute the 12

48x -72 = -3

Add 72 to each side

48x-72+72 = -3+72

48x =69

Divide by 48

48x/48 = 69/48

x =1 21/48

x = 1 7/16

Answer 2

1.4375

Explanation:

Step 1:

Let the given equation be
`1+12(4X-6)=-2`

To find X simplification of terms using BODMAS ( Brackets Orders Division Multiplication Addition Subtraction) is done as follows.

Step 2:

Let us expand the equation as
`1+ (12*4X)-(12*6)=-2`

Step 3:

Let us expand it further as
`1+48X-72=-2`

Step 4:

To find X segregate X in one side and all other remaining terms in other side as follows

`48X=-2+72-1`

After the simplification the numerical value is

`48X=69`

Step 5:

Keep X along one side and bring 48 to the denominator of another side to find X as follows

`X=69/48`

And the value of X is 1.4375