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30-19x-20-\left(-15x\right)=10
To find the opposite of 20-15x, find the opposite of each term.
30-19x-20+15x=10
The opposite of -15x is 15x.
10-19x+15x=10
Subtract 20 from 30 to get 10.
10-4x=10
Combine -19x and 15x to get -4x.
-4x=10-10
Subtract 10 from both sides.
-4x=0
Subtract 10 from 10 to get 0.
x=0
Product of two numbers is equal to 0 if at least one of them is 0. Since -4 is not equal to 0, x must be equal to 0.