# Simplify (d-2)/3+(d-2)/2=3

d-23+d-22=3
Factor the equation.
To write d-23 as a fraction with a common denominator, multiply by 22.
d-23⋅22+d-22=3
To write d-22 as a fraction with a common denominator, multiply by 33.
d-23⋅22+d-22⋅33=3
Write each expression with a common denominator of 6, by multiplying each by an appropriate factor of 1.
Multiply d-23 and 22.
(d-2)⋅23⋅2+d-22⋅33=3
Multiply 3 by 2.
(d-2)⋅26+d-22⋅33=3
Multiply d-22 and 33.
(d-2)⋅26+(d-2)⋅32⋅3=3
Multiply 2 by 3.
(d-2)⋅26+(d-2)⋅36=3
(d-2)⋅26+(d-2)⋅36=3
Combine the numerators over the common denominator.
(d-2)⋅2+(d-2)⋅36=3
Rewrite (d-2)⋅2+(d-2)⋅36 in a factored form.
Apply the distributive property.
d⋅2-2⋅2+(d-2)⋅36=3
Move 2 to the left of d.
2⋅d-2⋅2+(d-2)⋅36=3
Multiply -2 by 2.
2d-4+(d-2)⋅36=3
Apply the distributive property.
2d-4+d⋅3-2⋅36=3
Move 3 to the left of d.
2d-4+3⋅d-2⋅36=3
Multiply -2 by 3.
2d-4+3d-66=3
5d-4-66=3
Subtract 6 from -4.
5d-106=3
Factor 5 out of 5d-10.
Factor 5 out of 5d.
5(d)-106=3
Factor 5 out of -10.
5d+5⋅-26=3
Factor 5 out of 5d+5⋅-2.
5(d-2)6=3
5(d-2)6=3
5(d-2)6=3
5(d-2)6=3
Solve the equation.
Multiply both sides of the equation by 6.
5(d-2)=3⋅(6)
Simplify 5(d-2).
Apply the distributive property.
5d+5⋅-2=3⋅(6)
Multiply 5 by -2.
5d-10=3⋅(6)
5d-10=3⋅(6)
Multiply 3 by 6.
5d-10=18
Move all terms not containing d to the right side of the equation.
Add 10 to both sides of the equation.
5d=18+10
5d=28
5d=28
Divide each term by 5 and simplify.
Divide each term in 5d=28 by 5.
5d5=285
Cancel the common factor of 5.
Cancel the common factor.
5d5=285
Divide d by 1.
d=285
d=285
d=285
d=285
The result can be shown in multiple forms.
Exact Form:
d=285
Decimal Form:
d=5.6
Mixed Number Form:
d=535
Simplify (d-2)/3+(d-2)/2=3

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