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

w-32=-35w+65
Simplify each term.
Combine w and 35.
w-32=-w⋅35+65
Move 3 to the left of w.
w-32=-3w5+65
w-32=-3w5+65
Move all terms containing w to the left side of the equation.
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
Reorder w and 5.
5⋅w+3w5-32=65
8⋅w5-32=65
8w5-32=65
8w5-32=65
Move all terms not containing w to the right side of the equation.
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
8w5=2710
8w5=2710
8w5=2710
Multiply both sides of the equation by 58.
58⋅8w5=58⋅2710
Simplify both sides of the equation.
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

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