Question

What is the solution of 4(x + 10) = -3x - 12?

Answer 1

`4(x+10)=-3x-12`

To find the solution:

1. Remove parenthesis:

As:

`a(b+c)=ab+ac`
`4x+40=-3x-12`

2. Add 3x in both sides of the equation:

`\begin{gathered} 4x+3x+40=-3x+3x-12 \\ \\ 7x+40=-12 \end{gathered}`

3. Substract 40 in both sides of the equation:

`\begin{gathered} 7x+40-40=-12-40 \\ 7x=-52 \end{gathered}`

4. Divide both sides of the equation by 7:

`\begin{gathered} (7x)/(7)=-(52)/(7) \\ \\ x=-(52)/(7)\approx-7.42 \end{gathered}`Then, the solution for the given equation is -52/7 or approximately -7.42