Answer:
Always true
Step-by-step explanation:
Given
[tex]\frac{2}{3}x + 4 = 2x[/tex]
Required
Determine its type of solution
[tex]\frac{2}{3}x + 4 = 2x[/tex]
Collect Like Terms
[tex]2x - \frac{2}{3}x = 4[/tex]
Take LCM
[tex]\frac{6x - 2x}{3} = 4[/tex]
[tex]\frac{4x}{3} = 4[/tex]
Multiply both sides by [tex]\frac{3}{4}[/tex]
[tex]\frac{4x}{3} * \frac{3}{4}= 4 * \frac{3}{4}[/tex]
[tex]x = 4 * \frac{3}{4}[/tex]
[tex]x = 3[/tex]
Hence, the equation is always true for x = 3
