how do you do this problem of inequality

-2(-3x4 > 3(5-2x)

clarify the meaning of

-2(-3x4

ok, clearly a bracket is missing, but is that x^4 ?

-2(-3x+ 4) >greater or equal to 3(5-2x)

-2(3x+4) ≥ 3(5-2x)

expand normally

-6x - 8 ≥ 15 - 6x
-8 ≥ 15

well, that will never happen,
so there is no solution

To solve the inequality -2(-3x4 > 3(5-2x), follow these steps:

Step 1: Simplify both sides of the inequality
The left side can be simplified as follows:
-2(-3x4) = 6x4 = 24x
The right side can be simplified as follows:
3(5-2x) = 15-6x

So, the simplified inequality becomes:
24x > 15-6x

Step 2: Combine like terms
To combine like terms, we need to move the variables to one side and the constants to the other side of the inequality.

Add 6x to both sides:
24x + 6x > 15
30x > 15

Step 3: Solve for x
To solve for x, divide both sides of the inequality by 30 (the coefficient of x):
(30x)/30 > 15/30
x > 1/2

Thus, the solution to the inequality -2(-3x4 > 3(5-2x) is x > 1/2.