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3\left(5x+1\right)=2\left(7x-1\right)+6
Multiply both sides of the equation by 6, the least common multiple of 2,3.
15x+3=2\left(7x-1\right)+6
Use the distributive property to multiply 3 by 5x+1.
15x+3=14x-2+6
Use the distributive property to multiply 2 by 7x-1.
15x+3=14x+4
Add -2 and 6 to get 4.
15x+3-14x=4
Subtract 14x from both sides.
x+3=4
Combine 15x and -14x to get x.
x=4-3
Subtract 3 from both sides.
x=1
Subtract 3 from 4 to get 1.