Question

Solve: $5x-\frac{1}{3}(x+1)=6(x+\frac{1}{30})$.

Answer 1

Given, $5x-\frac{1}{3}(x+1)=6(x+\frac{1}{30})$

$⟹$ $5x-\frac{x}{3}-\frac{1}{3}=6x+\frac{1}{5}$ ...[By Distribution Law]

$⟹$ $5x-6x-\frac{x}{3}=\frac{1}{3}+\frac{1}{5}$ ...[Transposing $x$ terms to one side]

$⟹$ $-x-\frac{x}{3}=\frac{1}{3}+\frac{1}{5}$

$⟹$ $\frac{-3x-x}{3}=\frac{5+3}{15}$ …[Cross-multiplying the denominators on the LHS]

$⟹$ $\frac{-4x}{3}=\frac{8}{15}$ ...[On simplifying]

$⟹$ $x=\frac{-8\times 3}{15\times 4}$ ...[On simplifying]

$⟹$ $x=\frac{-2}{5}$.