Solve the following equation show your work -1/2w - 3/5 = 1/5w

w = (-6)/7

Step-by-step explanation:

Solve for w:

-w/2 - 3/5 = w/5

Hint: | Put the fractions in -w/2 - 3/5 over a common denominator.

Put each term in -w/2 - 3/5 over the common denominator 10: -w/2 - 3/5 = (-5 w)/10 - 6/10:

(-5 w)/10 - 6/10 = w/5

Hint: | Combine (-5 w)/10 - 6/10 into a single fraction.

(-5 w)/10 - 6/10 = (-5 w - 6)/10:

(-5 w - 6)/10 = w/5

Hint: | Make (-5 w - 6)/10 = w/5 simpler by multiplying both sides by a constant.

Multiply both sides by 10:

(10 (-5 w - 6))/10 = 2 w

Hint: | Cancel common terms in the numerator and denominator of (10 (-5 w - 6))/10.

(10 (-5 w - 6))/10 = 10/10×(-5 w - 6) = -5 w - 6:

-5 w - 6 = (10 w)/5

Hint: | In (10 w)/5, divide 10 in the numerator by 5 in the denominator.

10/5 = (5×2)/5 = 2:

-5 w - 6 = 2 w

Hint: | Move terms with w to the left hand side.

Subtract 2 w from both sides:

(-5 w - 2 w) - 6 = 2 w - 2 w

Hint: | Combine like terms in -5 w - 2 w.

-5 w - 2 w = -7 w:

-7 w - 6 = 2 w - 2 w

Hint: | Look for the difference of two identical terms.

2 w - 2 w = 0:

-7 w - 6 = 0

Hint: | Isolate terms with w to the left hand side.

Add 6 to both sides:

(6 - 6) - 7 w = 6

Hint: | Look for the difference of two identical terms.

6 - 6 = 0:

-7 w = 6

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of -7 w = 6 by -7:

(-7 w)/(-7) = 6/(-7)

Hint: | Any nonzero number divided by itself is one.

(-7)/(-7) = 1:

w = 6/(-7)

Hint: | Simplify the sign of 6/(-7).

Multiply numerator and denominator of 6/(-7) by -1:

w = (-6)/7

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