Question

Solve for x 5(x - 3) = -11

Answer 1

In order to solve this equation for x, the first step is using the distributive property of multiplication:

`a(b+c)=a\cdot b+a\cdot c`

So, solving the equation for x, we have:

`\begin{gathered} 1.\text{ Distributive property on the left side:}\\ \\ 5x-5\cdot3=-11\\ \\ 5x-15=-11\\ \\ 2.\text{ Add 15 to both sides:}\\ \\ 5x-15+15=-11+15\\ \\ 5x=4\\ \\ 3.\text{ Divide both sides by 5:}\\ \\ (5x)/(5)=(4)/(5)\\ \\ x=(4)/(5) \end{gathered}`

Therefore the solution is x = 4/5 or x = 0.8.