4(5x-20)=20(x-4)
Apply the distributive property.
4(5x)+4⋅-20=20(x-4)
Multiply.
Multiply 5 by 4.
20x+4⋅-20=20(x-4)
Multiply 4 by -20.
20x-80=20(x-4)
20x-80=20(x-4)
20x-80=20(x-4)
Apply the distributive property.
20x-80=20x+20⋅-4
Multiply 20 by -4.
20x-80=20x-80
20x-80=20x-80
Subtract 20x from both sides of the equation.
20x-80-20x=-80
Combine the opposite terms in 20x-80-20x.
Subtract 20x from 20x.
0-80=-80
Subtract 80 from 0.
-80=-80
-80=-80
-80=-80
Since -80=-80, the equation will always be true for any value of x.
All real numbers
The result can be shown in multiple forms.
All real numbers
Interval Notation:
(-∞,∞)
Solve for x 4(5x-20)=20(x-4)
