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2\times 8+3=8x+1\times 8+1
Multiply both sides of the equation by 8.
16+3=8x+1\times 8+1
Multiply 2 and 8 to get 16.
19=8x+1\times 8+1
Add 16 and 3 to get 19.
19=8x+8+1
Multiply 1 and 8 to get 8.
19=8x+9
Add 8 and 1 to get 9.
8x+9=19
Swap sides so that all variable terms are on the left hand side.
8x=19-9
Subtract 9 from both sides.
8x=10
Subtract 9 from 19 to get 10.
x=\frac{10}{8}
Divide both sides by 8.
x=\frac{5}{4}
Reduce the fraction \frac{10}{8} to lowest terms by extracting and canceling out 2.