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8x+2x+6+3\left(2x+4\right)=3\left(2x-6\right)
Use the distributive property to multiply 2 by x+3.
10x+6+3\left(2x+4\right)=3\left(2x-6\right)
Combine 8x and 2x to get 10x.
10x+6+6x+12=3\left(2x-6\right)
Use the distributive property to multiply 3 by 2x+4.
16x+6+12=3\left(2x-6\right)
Combine 10x and 6x to get 16x.
16x+18=3\left(2x-6\right)
Add 6 and 12 to get 18.
16x+18=6x-18
Use the distributive property to multiply 3 by 2x-6.
16x+18-6x=-18
Subtract 6x from both sides.
10x+18=-18
Combine 16x and -6x to get 10x.
10x=-18-18
Subtract 18 from both sides.
10x=-36
Subtract 18 from -18 to get -36.
x=\frac{-36}{10}
Divide both sides by 10.
x=-\frac{18}{5}
Reduce the fraction \frac{-36}{10} to lowest terms by extracting and canceling out 2.