Question

3x - 1 = 2 [x-1/2]+5




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Answer 1

Answer:

x=5

Step-by-step explanation:

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Answer 2

Given Equation :

$: \implies \displaystyle \sf \ 3x - 1 = 2 \bigg(x - \dfrac{1}{2} \bigg) + 5$

Solution :

$: \implies \displaystyle \sf \ 3x - 1 = 2x -\bigg (2 \times \frac{1}{2} \bigg)+ 5$

$: \implies \displaystyle \sf \ 3x - 1 = 2x - 1 + 5$

$: \implies \displaystyle \sf \ 3x - 2x = - 1 + 1 + 5$

$: \implies \displaystyle \sf \ x = 5$

Hence, Value Of x = 5.

Verification :

$: \implies \displaystyle \sf \ 3(5) - 1 = 2 \bigg(5 - \dfrac{1}{2} \bigg) + 5$

$: \implies \displaystyle \sf \ 15 - 1 = 10 - 1 + 5$

$: \implies \displaystyle \sf \ 14 = 14$

LHS = RHS.

Hence, Proved.