# Solve for x x/2+x/10=6

x2+x10=6
Simplify x2+x10.
To write x2 as a fraction with a common denominator, multiply by 55.
x2⋅55+x10=6
Write each expression with a common denominator of 10, by multiplying each by an appropriate factor of 1.
Multiply x2 and 55.
x⋅52⋅5+x10=6
Multiply 2 by 5.
x⋅510+x10=6
x⋅510+x10=6
Combine the numerators over the common denominator.
x⋅5+x10=6
Simplify the numerator.
Move 5 to the left of x.
5⋅x+x10=6
6×10=6
6×10=6
Cancel the common factor of 6 and 10.
Factor 2 out of 6x.
2(3x)10=6
Cancel the common factors.
Factor 2 out of 10.
2(3x)2(5)=6
Cancel the common factor.
2(3x)2⋅5=6
Rewrite the expression.
3×5=6
3×5=6
3×5=6
3×5=6
Multiply both sides of the equation by 53.
53⋅3×5=53⋅6
Simplify both sides of the equation.
Simplify 53⋅3×5.
Cancel the common factor of 5.
Cancel the common factor.
53⋅3×5=53⋅6
Rewrite the expression.
13⋅(3x)=53⋅6
13⋅(3x)=53⋅6
Cancel the common factor of 3.
Factor 3 out of 3x.
13⋅(3(x))=53⋅6
Cancel the common factor.
13⋅(3x)=53⋅6
Rewrite the expression.
x=53⋅6
x=53⋅6
x=53⋅6
Simplify 53⋅6.
Cancel the common factor of 3.
Factor 3 out of 6.
x=53⋅(3(2))
Cancel the common factor.
x=53⋅(3⋅2)
Rewrite the expression.
x=5⋅2
x=5⋅2
Multiply 5 by 2.
x=10
x=10
x=10
Solve for x x/2+x/10=6

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