what is x+1/4x=10

Question

I need to know how to solve x+1/4x=10

Answer 1

x+(1)/(4)*x=10

Multiply (1)/(4) by x to get (x)/(4).
x+(x)/(4)=10

Find the LCD (least common denominator) of x+(x)/(4)+10.
Least common denominator: 4

Multiply each term in the equation by 4 in order to remove all the denominators from the equation.
x*4+(x)/(4)*4=10*4

Simplify the left-hand side of the equation by canceling the common terms.
5x=10*4

Multiply 10 by 4 to get 40.
5x=40

Divide each term in the equation by 5.
(5x)/(5)=(40)/(5)

Simplify the left-hand side of the equation by canceling the common terms.
x=(40)/(5)

Simplify the right-hand side of the equation by simplifying each term.
x=8