# Solve for d 1/2d-3/4=3/5d

12d-34=35d
Combine 12 and d.
d2-34=35d
Combine 35 and d.
d2-34=3d5
Move all terms containing d to the left side of the equation.
Subtract 3d5 from both sides of the equation.
d2-34-3d5=0
To write d2 as a fraction with a common denominator, multiply by 55.
d2⋅55-3d5-34=0
To write -3d5 as a fraction with a common denominator, multiply by 22.
d2⋅55-3d5⋅22-34=0
Write each expression with a common denominator of 10, by multiplying each by an appropriate factor of 1.
Multiply d2 and 55.
d⋅52⋅5-3d5⋅22-34=0
Multiply 2 by 5.
d⋅510-3d5⋅22-34=0
Multiply 3d5 and 22.
d⋅510-3d⋅25⋅2-34=0
Multiply 5 by 2.
d⋅510-3d⋅210-34=0
d⋅510-3d⋅210-34=0
Combine the numerators over the common denominator.
d⋅5-3d⋅210-34=0
Simplify each term.
Simplify the numerator.
Factor d out of d⋅5-3d⋅2.
Factor d out of d⋅5.
d(5)-3d⋅210-34=0
Factor d out of -3d⋅2.
d(5)+d(-3⋅2)10-34=0
Factor d out of d(5)+d(-3⋅2).
d(5-3⋅2)10-34=0
d(5-3⋅2)10-34=0
Multiply -3 by 2.
d(5-6)10-34=0
Subtract 6 from 5.
d⋅-110-34=0
d⋅-110-34=0
Move -1 to the left of d.
-1⋅d10-34=0
Move the negative in front of the fraction.
-d10-34=0
-d10-34=0
-d10-34=0
Add 34 to both sides of the equation.
-d10=34
Multiply both sides of the equation by -10.
-10⋅(-d10)=-10⋅34
Simplify both sides of the equation.
Simplify -10⋅(-d10).
Cancel the common factor of 10.
Move the leading negative in -d10 into the numerator.
-10⋅-d10=-10⋅34
Factor 10 out of -10.
10(-1)⋅-d10=-10⋅34
Cancel the common factor.
10⋅-1⋅-d10=-10⋅34
Rewrite the expression.
-1⋅(-d)=-10⋅34
-1⋅(-d)=-10⋅34
Multiply.
Multiply -1 by -1.
1⋅d=-10⋅34
Multiply d by 1.
d=-10⋅34
d=-10⋅34
d=-10⋅34
Simplify -10⋅34.
Cancel the common factor of 2.
Factor 2 out of -10.
d=2(-5)⋅34
Factor 2 out of 4.
d=2⋅-5⋅32⋅2
Cancel the common factor.
d=2⋅-5⋅32⋅2
Rewrite the expression.
d=-5⋅32
d=-5⋅32
Combine -5 and 32.
d=-5⋅32
Simplify the expression.
Multiply -5 by 3.
d=-152
Move the negative in front of the fraction.
d=-152
d=-152
d=-152
d=-152
The result can be shown in multiple forms.
Exact Form:
d=-152
Decimal Form:
d=-7.5
Mixed Number Form:
d=-712
Solve for d 1/2d-3/4=3/5d

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