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2x+2x-1=6-2x
Multiply both sides of the equation by 6, the least common multiple of 3,6.
4x-1=6-2x
Combine 2x and 2x to get 4x.
4x-1+2x=6
Add 2x to both sides.
6x-1=6
Combine 4x and 2x to get 6x.
6x=6+1
Add 1 to both sides.
6x=7
Add 6 and 1 to get 7.
x=\frac{7}{6}
Divide both sides by 6.