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5\left(2x-1\right)+2x=6
Multiply both sides of the equation by 6, the least common multiple of 6,3.
10x-5+2x=6
Use the distributive property to multiply 5 by 2x-1.
12x-5=6
Combine 10x and 2x to get 12x.
12x=6+5
Add 5 to both sides.
12x=11
Add 6 and 5 to get 11.
x=\frac{11}{12}
Divide both sides by 12.