Question

3/4 (x-1) = x - 3
find x​

Answer 1

Answer:

⇢ ${\boxed{\bold{x = 9}}}$

Step-by-step explanation:

⇢ $\sf{\dfrac{3}{4} (x + 1) = x - 3}$

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Firstly, we have to simplify the equation:

⇢ $\sf{\bigg(\dfrac{3}{4}\bigg) (x) + \bigg(\dfrac{3}{4} \bigg) (-1) = x + -3}$

⇢ $\sf{\dfrac{3}{4} x + \dfrac{-3}{4} = x + -3}$

⇢ $\sf{\dfrac{3}{4} x + \dfrac{-3}{4} = x - 3}$

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Now, subtract 'x' from both the sides of the equation:

⇢ $\sf{\dfrac{3}{4} x + \dfrac{-3}{4} - x = x - 3}$

⇢ $\sf{\dfrac{-1}{4} x + \dfrac{-3}{4} = -3}$

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Substitute, $\bold{\dfrac{3}{4}}$ on both sides of equation.

⇢ $\sf{\dfrac{-1}{4} x + \dfrac{-3}{4} + \dfrac{3}{4} = -3 + \dfrac{-3}{4}}$

⇢ $\sf{\dfrac{-1}{4} x = \dfrac{-9}{4}}$

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Multiply, $\bold{\bigg(\dfrac{4}{-1}\bigg)}$ from both the sides of equation.

⇢ $\sf{\bigg(\dfrac{4}{-1}\bigg) \times \bigg(\dfrac{-1}{4} x \bigg) = \bigg(\dfrac{4}{-1} \bigg) \times \bigg(\dfrac{-9}{4}\bigg)}$

⇢ ${\boxed{\bold{x = 9}}}$

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Therefore, the value of x is equal to 9.