Solve the equation  \(\dfrac{4x-3}{5}-6=7-6x\).   (3 marks)

Consider the equation  \(\dfrac{5x}{2}-3=\dfrac{3x}{5}+1\).

Which of the following would be a correct step in solving this equation?

1. \(\dfrac{5x}{2}-2=\dfrac{3x}{5}\)
2. \(\dfrac{10x}{4}-4=\dfrac{6x}{5}\)
3. \(\dfrac{5x}{2}=\dfrac{3x}{5}+4\)
4. \(5x-3=\dfrac{6x}{5}+2\)

Find the value of  \(b\)  given  \(\dfrac{b}{9}-5=3\).  (1 mark)

If  \(\dfrac{x-8}{9}=2\),  find  \(x\).  (1 mark)

Solve the equation  \(\dfrac{3x}{4}+1=\dfrac{5x+1}{3}\), leaving your answer as a fraction.  (3 marks)

Solve  \(x+\dfrac{x-3}{4}=5\), leaving your answer as a fraction.  (2 marks)