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How many solutions does the equation have? 2 + 34 x − 5 = 3x − 3 − 94/4 x

User FruitJuice
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answer:

To determine the number of solutions for the equation 2 + 34x - 5 = 3x - 3 - (94/4)x, we can follow these steps:

1. Simplify the equation by combining like terms on both sides:

2 + 34x - 5 = 3x - 3 - (94/4)x

Simplifying further:

34x - 3x + (94/4)x = -2 - 5 + 3

2. Combine like terms on the left side of the equation:

(34 - 3 + 94/4)x = -4

Simplifying further:

(31 + 94/4)x = -4

3. Combine like terms on the right side of the equation:

(31 + 94/4)x = -4

4. Simplify the equation further, if possible:

(124/4 + 94/4)x = -4

Simplifying further:

(218/4)x = -4

5. Divide both sides of the equation by the coefficient of x:

(218/4)x / (218/4) = -4 / (218/4)

Simplifying further:

x = -4 / (218/4)

6. Simplify the right side of the equation:

x = -4 * (4/218)

Simplifying further:

x = -16/218

The equation has only one solution, which is x = -16/218.

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User Jibin Mathews
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