Question

what is the final step to solving the inequality -2(5-4x)<6x-4

Answer 1

Here's the whole equation; tldr divide -6 by -2 and flip the inequality from < to >.  
$-2(5-4x) \ \textless \ 6x - 4 \\ -10+8x \ \textless \ 6x -4 \\ -6+8x \ \textless \ 6x \\ -6 \ \textless \ -2x \\ 3 \ \textgreater \ x$ 

Answer 2

Answer:

x< 3

Step-by-step explanation:

-2(5-4x)<6x-4

multiply -2 inside the parenthesis

-2 * 5 = -10

-2 * -4x= 8x

-2(5-4x)<6x-4

-10 + 8x < 6x -4

To solve for x  we need 'x' on the left hand side

Subtract 6x from both sides

-10 + 8x -6x< 6x -6x -4

-10 +2x < -4

Add 10 on both sides

-10 +10 +2x < -4+10

2x < 6

divide by 2 on both sides

x< 3