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

$\boldsymbol{\sf{\dfrac{5}{3}x+4=\dfrac{2}{3}x }}$

Subtract 2/3x on both sides.

$\boldsymbol{\sf{\dfrac{5}{3}x+4-\dfrac{2}{3}x=0 }}$

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.

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

Answer 2

Answer:

x = - 4

Step-by-step explanation:

$\frac{5}{3}$ x + 4 = $\frac{2}{3}$ 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