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24x-6-2\left(5x+1\right)=6\left(2x+1\right)
Use the distributive property to multiply 3 by 8x-2.
24x-6-10x-2=6\left(2x+1\right)
Use the distributive property to multiply -2 by 5x+1.
14x-6-2=6\left(2x+1\right)
Combine 24x and -10x to get 14x.
14x-8=6\left(2x+1\right)
Subtract 2 from -6 to get -8.
14x-8=12x+6
Use the distributive property to multiply 6 by 2x+1.
14x-8-12x=6
Subtract 12x from both sides.
2x-8=6
Combine 14x and -12x to get 2x.
2x=6+8
Add 8 to both sides.
2x=14
Add 6 and 8 to get 14.
x=\frac{14}{2}
Divide both sides by 2.
x=7
Divide 14 by 2 to get 7.