What is the solution to this inequality 4(x-5)>-4x + 7x show your work
To solve the inequality 4(x-5) > -4x + 7x, we can start by simplifying both sides of the inequality.
First, distribute the 4 on the left side:
4(x-5) = 4x - 20.
Next, simplify the right side by combining like terms:
-4x + 7x = 3x.
Now, the inequality becomes:
4x - 20 > 3x.
To isolate the variable, subtract 3x from both sides:
4x - 3x - 20 > 3x - 3x,
x - 20 > 0.
Now, isolate x by adding 20 to both sides:
x - 20 + 20 > 0 + 20,
x > 20.
Therefore, the solution to the inequality 4(x-5) > -4x + 7x is x > 20.