# How do you solve 12( x - 1) + 6x - 4> 2x?

Dec 3, 2016

$x > 1$

#### Explanation:

Step 1) Expand the terms in parenthesis:

$12 x - 12 + 6 x - 4 > 2 x$

Step 2) Next combine like terms on each side of the inequality:

$12 x + 6 x - 12 - 4 > 2 x$

$18 x - 16 > 2 x$

Step 3) Isolate the $x$ terms on one side of the inequality while keeping the inequality balanced:

$18 x - 16 + 16 - 2 x > 2 x + 16 - 2 x$

$16 x - 0 > 0 + 16$

$16 x > 16$

Step 4) Solve for $x$ while keeping the inequality balanced:

$\frac{16 x}{16} > \frac{16}{16}$

$1 x > 1$

$x > 1$