Solve for x
x=\frac{1}{10}=0.1
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1+8x\left(-\frac{1}{2}\right)=6x
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,2,4.
1-4x=6x
Multiply 8 and -\frac{1}{2} to get -4.
1-4x-6x=0
Subtract 6x from both sides.
1-10x=0
Combine -4x and -6x to get -10x.
-10x=-1
Subtract 1 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-1}{-10}
Divide both sides by -10.
x=\frac{1}{10}
Fraction \frac{-1}{-10} can be simplified to \frac{1}{10} by removing the negative sign from both the numerator and the denominator.
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