Solve -8x-1/3+1.5=-9.5

$$- \frac{ 8x-1 }{ 3 } +1.5=-9.5$$

Solve for x

$$x=4.25$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 3.

$$-\left(8x-1\right)+4.5=-28.5$$

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

$$-8x-\left(-1\right)+4.5=-28.5$$

The opposite of -1 is 1.

$$-8x+1+4.5=-28.5$$

Add 1 and 4.5 to get 5.5.

$$-8x+5.5=-28.5$$

Subtract 5.5 from both sides.

$$-8x=-28.5-5.5$$

Subtract 5.5 from -28.5 to get -34.

$$-8x=-34$$

Divide both sides by -8.

$$x=\frac{-34}{-8}$$

Reduce the fraction \frac{-34}{-8} to lowest terms by extracting and canceling out -2.

$$x=\frac{17}{4}$$