Question

Simplify and solve the following linear equation: $3(t-3)=5(2t+1)$

Answer 1

Simplifincation of one variable equation:

Given: $3(t-3)=5(2t+1)$

$$\begin{gathered} 3(t–3)=5(2t+1) \\ \Rightarrow 3t–9=10t+5 \end{gathered}$$

Rearranging the equation and combining like terms we get

$$\begin{gathered} 3t–10t=5+9 \\ \Rightarrow -7t=14 \\ \Rightarrow t=14/-7 \\ \Rightarrow t=-2 \end{gathered}$$

Therefore, $t=-2$.