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} (30x)/(30)=(60)/(30) \\ \\ x=2 \end{gathered}`Then, the solution ofr the given equation is x=2

Answer 2

`x=2`

Explanation:

Givens

We are given an equation:

`6(5x-2)=48`

We are asked to solve this equation. In other words, we will solve for an unknown variable, x.

Solve

First, apply the distributive property:

`6(5x-2)=48\\\\30x-12=48`

Then, add 12 to both sides to get the constants on the right side of the equation:

`30x-12=48\\\\30x-12+12=48+12\\\\30x = 60`

Finally, divide both sides of the equation by 30:

`\displaystyle 30x=60\\\\(30x)/(30)=(60)/(30)\\\\x=2`

Final Answer

Therefore, x = 2.