Question

FREE MEDAL WITH ANSWER

2x + 1 / 3 = x + 6 / 2

Answer 1

x=16

Answer 2

2x+(1)/(3)=x+(6)/(2)

Reduce the expression (6)/(2) by removing a factor of 2 from the numerator and denominator.
2x+(1)/(3)=x+3

Since x contains the variable to solve for, move it to the left-hand side of the equation by subtracting x from both sides.
2x+(1)/(3)-x=3

Since 2x and -x are like terms, add -x to 2x to get x.
x+(1)/(3)=3

Since (1)/(3) does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting (1)/(3) from both sides.
x=-(1)/(3)+3

Simplify the right-hand side of the equation.
x=(8)/(3)

Answer 3

@roza93 could you explain how you got that?

Answer 4

@thewonderfuladele there were 2 other equations I had to answer and this problem had to have the same answer as at least one of the others, and 8/3 wasn't one of the previous answers. Only 15 and 16.

Answer 5

\[\frac{ 2x+1}{ 3 } = \frac{ x+6 }{ 2 }cross multiply to get 2(2x+1)=3(x+6)\]

Answer 6

4x+2 = 3x+18
x=16

Answer 7

Thanks! @roza93