Question

Determine whether the equation is always, sometimes, or never true. 2/3 x + 4 = 2x

Answer 1

Answer:

Always true

Step-by-step explanation:

Given

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

Required

Determine its type of solution

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

Collect Like Terms

$2x - \frac{2}{3}x = 4$

Take LCM

$\frac{6x - 2x}{3} = 4$

$\frac{4x}{3} = 4$

Multiply both sides by $\frac{3}{4}$

$\frac{4x}{3} * \frac{3}{4}= 4 * \frac{3}{4}$

$x = 4 * \frac{3}{4}$

$x = 3$

Hence, the equation is always true for x = 3