2(4x - 3) ≥ -3(3x) + 5x
We can apply distributive property here.
8x - 6 ≥ -9x + 5x
Next we can group like terms on right side
8x - 6 ≥ -4x
Next, add 6
8x ≥ -4x + 6
Add 4x
12x ≥ 6
Divide
x ≥ 0.5
Now we can plug 0.5 into the original expression to verify if it's true.
2(4 * 0.5 - 3) ≥ -3(3 * 0.5) + 5 * 0.5
-2 ≥ -2
Because this is a greater than or equal to question, the equation is valid.
x ≥ 0.5
