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20+4x=20-5x
Multiply both sides of the equation by 20, the least common multiple of 5,4.
20+4x+5x=20
Add 5x to both sides.
20+9x=20
Combine 4x and 5x to get 9x.
9x=20-20
Subtract 20 from both sides.
9x=0
Subtract 20 from 20 to get 0.
x=0
Product of two numbers is equal to 0 if at least one of them is 0. Since 9 is not equal to 0, x must be equal to 0.