Question

Solve:
3(5x − 7) − 2(9x − 11) = 4(8x − 13) − 17

Answer 1

$$\begin{gathered} 3(5x-7)-2(9x-11)=4(8x-13)-17 \\ \Rightarrow 15x-21-18x+22=32x-52-17 \\ \Rightarrow 15x-18x-21+22=32x-69 \\ \Rightarrow -3x+1=32x-69 \\ \Rightarrow 1+69=32x+3x \\ \Rightarrow 70=35x \\ \Rightarrow 35x=70(by\mathrm{transposition}) \\ \Rightarrow x=\frac{70}{35}=2 \\ \therefore x=2 \end{gathered}$$