Question

X/2-x/3=x/4+1/2solution with verify

Answer 1

Answer:

$\frac{x}{2}-\frac{x}{3}=\frac{x}{4}+\frac{1}{2}$

$\implies \frac{x}{2}-\frac{x}{3}-\frac{x}{4}=\frac{1}{2}$

$\implies \frac{6x-4x-3x}{12}=\frac{1}{2}$

$\implies \frac{-x}{12}=\frac{1}{2}$

$\implies x = \frac{-12}{2}\\=-6$

Verification:

Substitute x = -6 in the equation, we get

$LHS = \frac{x}{2}-\frac{x}{3}\\=\frac{-6}{2}-\frac{-6}{3}\\=-3+2\\=-1$

$RHS = \frac{x}{4}+\frac{1}{2}\\=\frac{-6}{4}+\frac{1}{2}\\=\frac{-3}{2}+\frac{1}{2}\\=\frac{-2}{2}\\=-1$

LHS = RHS

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