Question

Solve for the variable in the following equation.
2/3x+5/6x=1/2x+10
Choices are:
x=10
or
x=5/12
or
x=7/12
or
x=15

Answer 1

2/3x can be re-written as 4/6x. 1/2x can be re-written as 3/6x. After doing this, you can begin to solve the equation more easily. 4/6x + 5/6x = 3/6x + 10. 9/6x = 3/6x + 10. 6/6x = 10. 6/6 = 1, so x = 10.

Answer 2

So the final answer is 10?

Answer 3

\[6\times\frac{2}{3}x+6\times\frac{5}{6}x=6\times\frac{1}{2}x+6\times10\]

Answer 4

So is the answer 10 then?

Answer 5

\[4x+5x=3x+60\]

Answer 6

\[9x=3x+60\]

Answer 7

\[6x=60\]

Answer 8

So the answer is 10?

Answer 9

\[x=10\]