algebra question

Question

x=(x)/(9)+(x)/(6)+(x)/(2)+4+(x)/(12)+2

What value of x makes this true

Answer 1

x=x/9 + x/6 + x/2 + 4 + x/12 + 2

x- x/9 - x/6 - x/2 - x/12 =6

36 is the lcd

36x/36-4x/36-6x/6-18x/36-3x/36=6

5x/36=6

5x=216

x=216/5

x=43.2

replace each x by 43.2 to get....

43.2=4.8+7.2+21.6+3.6+6

43.2=43,2

Answer 2

To solve this, the first step is to get rid of the fractions by multiplying by the LCD, Least Common Denominator. In this problem, that is 36

This gives the following

36(x)=36(x/9)+36(x/6)+36(x/2)+36(4)+36(x/12)+36(2)

Simplify

36x=4x+6x+18x+144+3x+72

Combine like terms on the right

36x=31x+216

Subtract 31x from both sides

5x=216

Divide both sides by 5

x=43.2