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5 votes
Determine whether the equation is always, sometimes, or never true.

2/3 x + 4 = 2x

User Beniaminus
by
6.5k points

1 Answer

0 votes

Answer:

Always true

Explanation:

Given


(2)/(3)x + 4 = 2x

Required

Determine its type of solution


(2)/(3)x + 4 = 2x

Collect Like Terms


2x - (2)/(3)x = 4

Take LCM


(6x - 2x)/(3) = 4


(4x)/(3) = 4

Multiply both sides by
(3)/(4)


(4x)/(3) * (3)/(4)= 4 * (3)/(4)


x = 4 * (3)/(4)


x = 3

Hence, the equation is always true for x = 3

User Wsfuller
by
6.2k points
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