Question

Solve the linear equation:

$3(5z-7)-2(9z-11)=4(8z-13)-17$

Answer 1

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

Hence, $\mathit{z}\mathbf{}\mathbf{=}\mathbf{}\mathbf{2}$ is the solution of given equation.