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max2010maxim [7]
2 years ago
5

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

Mathematics
1 answer:
Anarel [89]2 years ago
8 0

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

<em>Hence, the equation is always true for x = 3</em>

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