Question

solve the equation 6(5x-2)=48

Answer 1

$6(5x-2)=48$

To solve an equation as given:

1. Remove the parenthesis by multiplying the terms in the parenthesis for the term outside the parenthesis:

$\begin{gathered} 6\cdot5x-6\cdot2=48 \\ 30x-12=48 \end{gathered}$

2. Add 12 in both sides of the equation:

$\begin{gathered} 30x-12+12=48+12 \\ 30x=60 \end{gathered}$

3. Divide both sides of the equation into 30:

$\begin{gathered} \frac{30x}{30}=\frac{60}{30} \\ \\ x=2 \end{gathered}$Then, the solution ofr the given equation is x=2