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2\times 2x+x=10
Multiply both sides of the equation by 10, the least common multiple of 5,10.
4x+x=10
Multiply 2 and 2 to get 4.
5x=10
Combine 4x and x to get 5x.
x=\frac{10}{5}
Divide both sides by 5.
x=2
Divide 10 by 5 to get 2.