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10=6\left(x-4\right)
Variable x cannot be equal to 4 since division by zero is not defined. Multiply both sides of the equation by x-4.
10=6x-24
Use the distributive property to multiply 6 by x-4.
6x-24=10
Swap sides so that all variable terms are on the left hand side.
6x=10+24
Add 24 to both sides.
6x=34
Add 10 and 24 to get 34.
x=\frac{34}{6}
Divide both sides by 6.
x=\frac{17}{3}
Reduce the fraction \frac{34}{6} to lowest terms by extracting and canceling out 2.