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12x+6-7=5\left(3-x\right)
Use the distributive property to multiply 6 by 2x+1.
12x-1=5\left(3-x\right)
Subtract 7 from 6 to get -1.
12x-1=15-5x
Use the distributive property to multiply 5 by 3-x.
12x-1+5x=15
Add 5x to both sides.
17x-1=15
Combine 12x and 5x to get 17x.
17x=15+1
Add 1 to both sides.
17x=16
Add 15 and 1 to get 16.
x=\frac{16}{17}
Divide both sides by 17.