Question

2(4x-3)>-3(3x)+5x help

Answer 1

x > 1/2

Explanation:

We have the inequality 2(4x - 3) > -3(3x) + 5x.

Let's first expand all the parentheses on the left side. When doing so, remember that we take the sum of the products of the outside number with each of the inside numbers:

2 * 4x + 2 * (-3) > -9x + 5x

8x - 6 > -4x

Add 4x and 6 to both sides:

8x + 4x > 6

12x > 6

Divide by 12:

x > 6/12

x > 1/2

Thus, any x value greater than 1/2 works: x > 1/2.

~ an aesthetics lover

Answer 2

`x>1/2`

Explanation:

`2(4x-3)>-3(3x)+5x`

Expand the brackets.

`8x-6>-9x+5x`

Add -9x and 5x

`8x-6>-4x`

Add 4x and 6x on both sides.

`8x+4x>6`

Add the like terms.

`12x>6`

Divide 12 into both sides.

`12x/12>6/12`

`x>1/2`