Solve for x in the equation $\tfrac{3}{5}(2x-1)=\tfrac{1}{4}(5x-3)$

Find the coefficient of m in the expansion of $\left( \frac{m}{2}-1\frac{1}{2} \right)\left( m+\frac{2}{3} \right)$

Express $3-\left[ \frac{x-y}{y} \right]$ as a single fraction

Simplify $\frac{54{{k}^{2}}-6}{3k+1}$

Solve for x in the equation $\frac{1}{x}+\frac{2}{3x}=\frac{1}{3}$

If $\frac{2}{x-3}-\frac{3}{x-2}$is equal to $\frac{P}{(x-3)(x-2)}$ find P

Simplify: $10\tfrac{2}{5}-6\tfrac{2}{3}+3$

Express $\frac{2}{x+3}-\frac{1}{x-2}$ as a simple fraction

If x = 64 and y = 27, evaluate $\frac{{{x}^{\tfrac{1}{2}}}-{{y}^{\tfrac{1}{3}}}}{y-{{x}^{\tfrac{2}{3}}}}$

Solve the inequality $\frac{2x-5}{2}<(2-x)$