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2\left(4x-2\right)-5\left(x+6\right)=20
Multiply both sides of the equation by 10, the least common multiple of 5,2.
8x-4-5\left(x+6\right)=20
Use the distributive property to multiply 2 by 4x-2.
8x-4-5x-30=20
Use the distributive property to multiply -5 by x+6.
3x-4-30=20
Combine 8x and -5x to get 3x.
3x-34=20
Subtract 30 from -4 to get -34.
3x=20+34
Add 34 to both sides.
3x=54
Add 20 and 34 to get 54.
x=\frac{54}{3}
Divide both sides by 3.
x=18
Divide 54 by 3 to get 18.