Question

8x - 16 = -4x - 4(1-6x)
please show work

Answer 1

x= -1

Explanation:

8x - 16 = -4x - 4(1-6x)

8x - 16 = -4x - 4+24x

8x - 16 = 20x-4

8x - 16+16 = 20x-4+16

8x = 20x+12

8x-20x = 20x-20x+12

-12x=12

Divide both by -12, and you get -1.

Answer 2

Explanation

• Distribute -4 in (1-6x).

`8x - 16 = - 4x -4 + 24x`

• Solve the equation for x-term by making x as the subject.

`8x + 4x - 24x = 16 - 4 \\ 12x - 24x = 12 \\ - 12x = 12 \\ x = (12)/( - 12) \Longrightarrow (1)/( - 1) \Longrightarrow - 1 \\ x = - 1`

• Answer Check by substituting x = -1 in the equation.

`8( - 1) - 16 = - 4( - 1) - 4 + 24( - 1) \\ - 8 - 16 = 4 - 4 - 24 \\ - 24 = 0 - 24 \\ - 24 = - 24`

The equation is true for x = -1.

Answer

`\large \boxed{x = - 1}`