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7x+21=5\left(6-x\right)
Use the distributive property to multiply 7 by x+3.
7x+21=30-5x
Use the distributive property to multiply 5 by 6-x.
7x+21+5x=30
Add 5x to both sides.
12x+21=30
Combine 7x and 5x to get 12x.
12x=30-21
Subtract 21 from both sides.
12x=9
Subtract 21 from 30 to get 9.
x=\frac{9}{12}
Divide both sides by 12.
x=\frac{3}{4}
Reduce the fraction \frac{9}{12} to lowest terms by extracting and canceling out 3.