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2\times 5=10x+1
Multiply both sides by 5.
10=10x+1
Multiply 2 and 5 to get 10.
10x+1=10
Swap sides so that all variable terms are on the left hand side.
10x=10-1
Subtract 1 from both sides.
10x=9
Subtract 1 from 10 to get 9.
x=\frac{9}{10}
Divide both sides by 10.