Question

24 - 7(x + 3) = -2(x + 3) - 5x

Explanation:

Step1: Expand the brackets

First, we expand the expressions on both sides of the equation. For the left side, we have \(24 - 7(x + 3)\), using the distributive property \(a(b + c)=ab+ac\), we get \(24-7x - 21\). For the right side, we have \(-2(x + 3)-5x\), expanding gives \(-2x-6 - 5x\). So the equation becomes:
\(24-7x - 21=-2x-6 - 5x\)

Step2: Simplify both sides

Simplify the left side: \(24 - 21-7x=3 - 7x\). Simplify the right side: \(-2x-5x-6=-7x - 6\). Now the equation is:
\(3 - 7x=-7x - 6\)

Step3: Add \(7x\) to both sides

Add \(7x\) to both sides of the equation:
\(3 - 7x+7x=-7x - 6+7x\)
Simplifying both sides, we get:
\(3=-6\)

Answer:

This equation has no solution because we end up with \(3 = - 6\), which is a contradiction.