Solve for n 5(n-1/10)=1/2

5(n-110)=12
Simplify.
Apply the distributive property.
5n+5(-110)=12
Cancel the common factor of 5.
Move the leading negative in -110 into the numerator.
5n+5(-110)=12
Factor 5 out of 10.
5n+5-15(2)=12
Cancel the common factor.
5n+5-15⋅2=12
Rewrite the expression.
5n+-12=12
5n+-12=12
Move the negative in front of the fraction.
5n-12=12
5n-12=12
Divide each term by 5 and simplify.
Divide each term in 5n-12=12 by 5.
5n-125=12⋅15
Simplify 5n-125.
Simplify the numerator.
To write 5n as a fraction with a common denominator, multiply by 22.
5n⋅22-125=12⋅15
Combine 5n and 22.
5n⋅22-125=12⋅15
Combine the numerators over the common denominator.
5n⋅2-125=12⋅15
Multiply 2 by 5.
10n-125=12⋅15
10n-125=12⋅15
Multiply the numerator by the reciprocal of the denominator.
10n-12⋅15=12⋅15
Multiply 10n-12⋅15.
Multiply 10n-12 and 15.
10n-12⋅5=12⋅15
Multiply 2 by 5.
10n-110=12⋅15
10n-110=12⋅15
10n-110=12⋅15
Multiply 12⋅15.
Multiply 12 and 15.
10n-110=12⋅5
Multiply 2 by 5.
10n-110=110
10n-110=110
10n-110=110
Since the expression on each side of the equation has the same denominator, the numerators must be equal.
10n-1=1
Move all terms not containing n to the right side of the equation.
Add 1 to both sides of the equation.
10n=1+1
10n=2
10n=2
Divide each term by 10 and simplify.
Divide each term in 10n=2 by 10.
10n10=210
Cancel the common factor of 10.
Cancel the common factor.
10n10=210
Divide n by 1.
n=210
n=210
Cancel the common factor of 2 and 10.
Factor 2 out of 2.
n=2(1)10
Cancel the common factors.
Factor 2 out of 10.
n=2⋅12⋅5
Cancel the common factor.
n=2⋅12⋅5
Rewrite the expression.
n=15
n=15
n=15
n=15
The result can be shown in multiple forms.
Exact Form:
n=15
Decimal Form:
n=0.2
Solve for n 5(n-1/10)=1/2

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