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21x-7-5\left(4x+3\right)=2\left(3x+5\right)-5\left(3x+12\right)
Use the distributive property to multiply 7 by 3x-1.
21x-7-20x-15=2\left(3x+5\right)-5\left(3x+12\right)
Use the distributive property to multiply -5 by 4x+3.
x-7-15=2\left(3x+5\right)-5\left(3x+12\right)
Combine 21x and -20x to get x.
x-22=2\left(3x+5\right)-5\left(3x+12\right)
Subtract 15 from -7 to get -22.
x-22=6x+10-5\left(3x+12\right)
Use the distributive property to multiply 2 by 3x+5.
x-22=6x+10-15x-60
Use the distributive property to multiply -5 by 3x+12.
x-22=-9x+10-60
Combine 6x and -15x to get -9x.
x-22=-9x-50
Subtract 60 from 10 to get -50.
x-22+9x=-50
Add 9x to both sides.
10x-22=-50
Combine x and 9x to get 10x.
10x=-50+22
Add 22 to both sides.
10x=-28
Add -50 and 22 to get -28.
x=\frac{-28}{10}
Divide both sides by 10.
x=-\frac{14}{5}
Reduce the fraction \frac{-28}{10} to lowest terms by extracting and canceling out 2.