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2\times 4x-3\left(3x+1\right)=60
Multiply both sides of the equation by 12, the least common multiple of 6,4.
8x-3\left(3x+1\right)=60
Multiply 2 and 4 to get 8.
8x-9x-3=60
Use the distributive property to multiply -3 by 3x+1.
-x-3=60
Combine 8x and -9x to get -x.
-x=60+3
Add 3 to both sides.
-x=63
Add 60 and 3 to get 63.
x=-63
Multiply both sides by -1.