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2\left(2x+1\right)-3\left(x-1\right)=5
Multiply both sides of the equation by 6, the least common multiple of 3,2,6.
4x+2-3\left(x-1\right)=5
Use the distributive property to multiply 2 by 2x+1.
4x+2-3x+3=5
Use the distributive property to multiply -3 by x-1.
x+2+3=5
Combine 4x and -3x to get x.
x+5=5
Add 2 and 3 to get 5.
x=5-5
Subtract 5 from both sides.
x=0
Subtract 5 from 5 to get 0.