w-32=-35w+65

Combine w and 35.

w-32=-w⋅35+65

Move 3 to the left of w.

w-32=-3w5+65

w-32=-3w5+65

Add 3w5 to both sides of the equation.

w-32+3w5=65

To write w as a fraction with a common denominator, multiply by 55.

w⋅55+3w5-32=65

Combine w and 55.

w⋅55+3w5-32=65

Combine the numerators over the common denominator.

w⋅5+3w5-32=65

Add w⋅5 and 3w.

Reorder w and 5.

5⋅w+3w5-32=65

Add 5⋅w and 3w.

8⋅w5-32=65

8w5-32=65

8w5-32=65

Add 32 to both sides of the equation.

8w5=65+32

To write 65 as a fraction with a common denominator, multiply by 22.

8w5=65⋅22+32

To write 32 as a fraction with a common denominator, multiply by 55.

8w5=65⋅22+32⋅55

Write each expression with a common denominator of 10, by multiplying each by an appropriate factor of 1.

Multiply 65 and 22.

8w5=6⋅25⋅2+32⋅55

Multiply 5 by 2.

8w5=6⋅210+32⋅55

Multiply 32 and 55.

8w5=6⋅210+3⋅52⋅5

Multiply 2 by 5.

8w5=6⋅210+3⋅510

8w5=6⋅210+3⋅510

Combine the numerators over the common denominator.

8w5=6⋅2+3⋅510

Simplify the numerator.

Multiply 6 by 2.

8w5=12+3⋅510

Multiply 3 by 5.

8w5=12+1510

Add 12 and 15.

8w5=2710

8w5=2710

8w5=2710

Multiply both sides of the equation by 58.

58⋅8w5=58⋅2710

Simplify 58⋅8w5.

Cancel the common factor of 5.

Cancel the common factor.

58⋅8w5=58⋅2710

Rewrite the expression.

18⋅(8w)=58⋅2710

18⋅(8w)=58⋅2710

Cancel the common factor of 8.

Factor 8 out of 8w.

18⋅(8(w))=58⋅2710

Cancel the common factor.

18⋅(8w)=58⋅2710

Rewrite the expression.

w=58⋅2710

w=58⋅2710

w=58⋅2710

Simplify 58⋅2710.

Cancel the common factor of 5.

Factor 5 out of 10.

w=58⋅275(2)

Cancel the common factor.

w=58⋅275⋅2

Rewrite the expression.

w=18⋅272

w=18⋅272

Multiply 18 and 272.

w=278⋅2

Multiply 8 by 2.

w=2716

w=2716

w=2716

The result can be shown in multiple forms.

Exact Form:

w=2716

Decimal Form:

w=1.6875

Mixed Number Form:

w=11116

Solve for w w-3/2=-3/5w+6/5