Solve this inequality 2(4x-3)≥-3(3x)+5x?

x ≥0.5

Step-by-step explanation:

Given : 2(4x-3)≥-3(3x)+5x.

To find : solve this inequality.

Solution : We have given that

2(4x-3)≥-3(3x)+5x.

Distributes 2 over (4x-3) and -3 over 3x.

8x - 6 ≥ -9x + 5x .

8x - 6 ≥ -4x .

On adding both side by 4x

8x + 4x - 6 ≥ 0 .

12 x - 6 ≥ 0

On adding both sides by 6.

12 x ≥ 6.

On dividing both sides by 12.

x ≥ .

x ≥ .

x ≥0.5.

Therefore, x ≥0.5

28

step-by-step explanation:

because that's the answer

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!