-5-6+w=58

Dividing two negative values results in a positive value.

56+w=58

Subtract 56 from both sides of the equation.

w=58-56

To write 58 as a fraction with a common denominator, multiply by 33.

w=58⋅33-56

To write -56 as a fraction with a common denominator, multiply by 44.

w=58⋅33-56⋅44

Write each expression with a common denominator of 24, by multiplying each by an appropriate factor of 1.

Multiply 58 and 33.

w=5⋅38⋅3-56⋅44

Multiply 8 by 3.

w=5⋅324-56⋅44

Multiply 56 and 44.

w=5⋅324-5⋅46⋅4

Multiply 6 by 4.

w=5⋅324-5⋅424

w=5⋅324-5⋅424

Combine the numerators over the common denominator.

w=5⋅3-5⋅424

Simplify the numerator.

Multiply 5 by 3.

w=15-5⋅424

Multiply -5 by 4.

w=15-2024

Subtract 20 from 15.

w=-524

w=-524

Move the negative in front of the fraction.

w=-524

w=-524

The result can be shown in multiple forms.

Exact Form:

w=-524

Decimal Form:

w=-0.2083‾

Solve for w -5/-6+w=5/8