Question

(6x-5) (x-2) - (3x-1) (2x-3) = 4
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Answer 1

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Answer 2

The value of x is 0.5.

Given:

(6x-5) (x-2) - (3x-1) (2x-3) = 4

To Find:

The value of x

Solution:

The given equation can be solved as follows:

⇒ (6x-5) (x-2) - (3x-1) (2x-3) = 4

⇒ 6x⋅x - 6x⋅2 - 5⋅x + 5⋅2 - 3x⋅2x + 3x⋅3 + 1 ⋅2x - 1⋅3 = 4

⇒ 6x² - 12x - 5x + 10 - 6x² + 9x + 2x - 3 = 4

⇒ 6x² - 6x² -12x - 5x + 9x +2x +10 - 3 = 4

⇒ -6x + 7 = 4

⇒ 6x -7 + 4 = 0

⇒ 6x - 3 = 0

⇒ 6x = 3

⇒ $x = \frac{3}{6}$

⇒ $x = \frac{1}{2}$

⇒ x = 0.5      (Ans.)

Therefore, the value of x is 0.5.

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