Solve -8x-1/3+15=-95

$$- \frac{ 8x-1 }{ 3 } +15=-95$$

Solve for x

$$x = \frac{331}{8} = 41\frac{3}{8} = 41.375$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 3.

$$-\left(8x-1\right)+45=-285$$

To find the opposite of 8x-1, find the opposite of each term.

$$-8x-\left(-1\right)+45=-285$$

The opposite of -1 is 1.

$$-8x+1+45=-285$$

Add 1 and 45 to get 46.

$$-8x+46=-285$$

Subtract 46 from both sides.

$$-8x=-285-46$$

Subtract 46 from -285 to get -331.

$$-8x=-331$$

Divide both sides by -8.

$$x=\frac{-331}{-8}$$

Fraction \frac{-331}{-8} can be simplified to \frac{331}{8} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{331}{8}$$