Problem 43 - Algebra 1: Concepts and Skills

Question

Solve the equation. $$ 4 x-11=-31 $$

Step-by-Step Solution

Answer

The solution to the equation \(4x - 11 = -31\) is \(x = -5\).

Step 1: Add 11 to both sides

By starting off the process with adding 11 to both sides of the equation, we get a simplified version. \(4x - 11 + 11 = -31 + 11\). Simplifying that results in \(4x = -20\)

Step 2: Divide by 4

Now, to isolate 'x', the next step is to divide both sides of the equation by 4. This results in \(x = -20 \u002F 4\)

Step 3: Simplify the right side

By dividing -20 by 4 we get -5. Thus, the solution is \(x = -5\)