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6x-21-5\left(2x-9\right)=0
Use the distributive property to multiply 3 by 2x-7.
6x-21-10x+45=0
Use the distributive property to multiply -5 by 2x-9.
-4x-21+45=0
Combine 6x and -10x to get -4x.
-4x+24=0
Add -21 and 45 to get 24.
-4x=-24
Subtract 24 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-24}{-4}
Divide both sides by -4.
x=6
Divide -24 by -4 to get 6.