Question

Select the correct answer. What is the solution for x in the equation 5/3x + 4= 2/3x? A. B. C. D.

Answer 1

x = - 4

Explanation:

`(5)/(3)` x + 4 =
`(2)/(3)` x ( multiply through by 3 to clear the fractions )

5x + 12 = 2x ( subtract 2x from both sides )

3x + 12 = 0 ( subtract 12 from both sides )

3x = - 12 ( divide both sides by 3 )

x = - 4

Answer 2

`\boldsymbol{\sf{(5)/(3)x+4=(2)/(3)x }}`

Subtract 2/3x on both sides.

`\boldsymbol{\sf{(5)/(3)x+4-(2)/(3)x=0 }}`

Combine 5/3x and -2/3x to get x.

`\boldsymbol{\sf{x+4=0 }}`

Subtract 4 from both sides. Any value subtracted from zero results in its negative value.

`\boldsymbol{\sf{x=-4 }}`