6x10=16x-10=1

1
Add 1010 to both sides.
6x=1+106x=1+10

2
Simplify  1+101+10  to  1111.
6x=116x=11

3
Divide both sides by 66.
x=116x=\frac{11}{6}

Done

Decimal Form: 1.833333

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