Solve -10h-6=-2/5

$$- 10 h - 6 = \frac { - 2 } { 5 }$$

Solve for h

$$h=-\frac{14}{25}=-0.56$$

Steps for Solving Linear Equation

Fraction \frac{-2}{5} can be rewritten as -\frac{2}{5} by extracting the negative sign.

$$-10h-6=-\frac{2}{5}$$

Add 6 to both sides.

$$-10h=-\frac{2}{5}+6$$

Convert 6 to fraction \frac{30}{5}.

$$-10h=-\frac{2}{5}+\frac{30}{5}$$

Since -\frac{2}{5} and \frac{30}{5} have the same denominator, add them by adding their numerators.

$$-10h=\frac{-2+30}{5}$$

Add -2 and 30 to get 28.

$$-10h=\frac{28}{5}$$

Divide both sides by -10.

$$h=\frac{\frac{28}{5}}{-10}$$

Express \frac{\frac{28}{5}}{-10} as a single fraction.

$$h=\frac{28}{5\left(-10\right)}$$

Multiply 5 and -10 to get -50.

$$h=\frac{28}{-50}$$

Reduce the fraction \frac{28}{-50} to lowest terms by extracting and canceling out 2.

$$h=-\frac{14}{25}$$