Question

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Answer 1

We have,

$\qquad \frac{21x - 3}{4} - \left( 2x - \frac{1 - x}{2} \right) = \frac{x + 5}{2} \\ \\ \\ \implies \frac{21x - 3}{2} - \frac{4x - (1 - x)}{2} = \frac{x + 5}{2} \\ \\ \\ \implies \frac{21x - 3 - (4x - 1 + x)}{2} = \frac{x + 5}{2} \\ \\ \\ \implies \frac{21x - 3 - (5x - 1)}{ \cancel{2} } = \frac{x + 5}{ \cancel{2} } \\ \\ \\ \implies 21x - 3 - 5x + 1 = x + 5 \\ \\ \\ \implies 21x - 5x - x = 5 + 3 - 1 \\ \\ \\ \implies (21 - 5 - 1)x = (5 + 3 - 1) \\ \\ \\ \implies 15x = 7 \\ \\ \\ \implies x = \frac{7}{15}$