Solve for x
x=\frac{4}{7}\approx 0.571428571
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6x+6=2\times 5+6x\left(-\frac{1}{6}\right)
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 6x, the least common multiple of x,3x,6.
6x+6=10+6x\left(-\frac{1}{6}\right)
Multiply 2 and 5 to get 10.
6x+6=10-x
Multiply 6 and -\frac{1}{6} to get -1.
6x+6+x=10
Add x to both sides.
7x+6=10
Combine 6x and x to get 7x.
7x=10-6
Subtract 6 from both sides.
7x=4
Subtract 6 from 10 to get 4.
x=\frac{4}{7}
Divide both sides by 7.
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