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-6x-18=6x-8+2\left(2x+1\right)
Use the distributive property to multiply -6 by x+3.
-6x-18=6x-8+4x+2
Use the distributive property to multiply 2 by 2x+1.
-6x-18=10x-8+2
Combine 6x and 4x to get 10x.
-6x-18=10x-6
Add -8 and 2 to get -6.
-6x-18-10x=-6
Subtract 10x from both sides.
-16x-18=-6
Combine -6x and -10x to get -16x.
-16x=-6+18
Add 18 to both sides.
-16x=12
Add -6 and 18 to get 12.
x=\frac{12}{-16}
Divide both sides by -16.
x=-\frac{3}{4}
Reduce the fraction \frac{12}{-16} to lowest terms by extracting and canceling out 4.