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10-14x-\left(-9x+3\right)=7
Use the distributive property to multiply 2 by 5-7x.
10-14x-\left(-9x\right)-3=7
To find the opposite of -9x+3, find the opposite of each term.
10-14x+9x-3=7
The opposite of -9x is 9x.
10-5x-3=7
Combine -14x and 9x to get -5x.
7-5x=7
Subtract 3 from 10 to get 7.
-5x=7-7
Subtract 7 from both sides.
-5x=0
Subtract 7 from 7 to get 0.
x=0
Product of two numbers is equal to 0 if at least one of them is 0. Since -5 is not equal to 0, x must be equal to 0.