Solve -1/2w-3/5=1/5w

$$- \frac{ 1 }{ 2 } w- \frac{ 3 }{ 5 } = \frac{ 1 }{ 5 } w$$

Solve for w

$$w=-\frac{6}{7}\approx -0.857142857$$

Steps for Solving Linear Equation

Subtract \frac{1}{5}w from both sides.

$$-\frac{1}{2}w-\frac{3}{5}-\frac{1}{5}w=0$$

Combine -\frac{1}{2}w and -\frac{1}{5}w to get -\frac{7}{10}w.

$$-\frac{7}{10}w-\frac{3}{5}=0$$

Add \frac{3}{5} to both sides. Anything plus zero gives itself.

$$-\frac{7}{10}w=\frac{3}{5}$$

Multiply both sides by -\frac{10}{7}, the reciprocal of -\frac{7}{10}.

$$w=\frac{3}{5}\left(-\frac{10}{7}\right)$$

Multiply \frac{3}{5} times -\frac{10}{7} by multiplying numerator times numerator and denominator times denominator.

$$w=\frac{3\left(-10\right)}{5\times 7}$$

Do the multiplications in the fraction \frac{3\left(-10\right)}{5\times 7}.

$$w=\frac{-30}{35}$$

Reduce the fraction \frac{-30}{35} to lowest terms by extracting and canceling out 5.

$$w=-\frac{6}{7}$$