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:

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