Question

solve for x and verify your result 3 (2x+1)-4(x-2)=0​

Answer 1

Solution :-

• Solving the given equation for the value of x.

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$\tt\longrightarrow{3(2x + 1) - 4(x - 2) = 0}$

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$\tt\longrightarrow{6x + 3 - 4x + 8 = 0}$

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$\tt\longrightarrow{6x - 4x + 3 + 8 = 0}$

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$\tt\longrightarrow{2x + 11 = 0}$

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$\tt\longrightarrow{2x = -11}$

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$\bf\longrightarrow{x = \dfrac{-11}{2}}$

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• We have x = -11/2

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Verification

• While verifying our answer, we will put the value of x = -11/2

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$\tt\longmapsto{3 \bigg( 2 \times \dfrac{-11}{2} + 1 \bigg) - 4 \bigg( \dfrac{-11}{2} - 2 \bigg) = 0}$

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$\tt\longmapsto{3(-11 + 1) - 4 \bigg( \dfrac{-11 - 4}{2} \bigg) = 0}$

⠀⠀

$\tt\longmapsto{3(-10) - 4 \bigg( \dfrac{-15}{2} \bigg) = 0}$

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$\tt\longmapsto{-30 - 4 \times \dfrac{-15}{2}}$

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$\tt\longmapsto{-30 - 2 \times -15 = 0}$

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$\tt\longmapsto{-30 + 30 = 0}$

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$\tt\longmapsto{0 = 0}$

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LHS = RHS

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Hence,

• Value of x is -11/2

Answer 2

Answer:

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