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2x-10=2x\times 6
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 8x, the least common multiple of 8x,4.
2x-10=12x
Multiply 2 and 6 to get 12.
2x-10-12x=0
Subtract 12x from both sides.
-10x-10=0
Combine 2x and -12x to get -10x.
-10x=10
Add 10 to both sides. Anything plus zero gives itself.
x=\frac{10}{-10}
Divide both sides by -10.
x=-1
Divide 10 by -10 to get -1.