Question

semester 1 summative practice (u... 8. solve the following equation: -4 - 6x = -6 - 5x enter your next step here

Explanation:

Step1: Add \(6x\) to both sides

To isolate the variable terms, we add \(6x\) to both sides of the equation \(-4 - 6x = -6 - 5x\). This gives us \(-4 - 6x + 6x = -6 - 5x + 6x\). Simplifying the left side (the \(-6x\) and \(+6x\) cancel) and the right side (combining like terms \(-5x + 6x = x\)) results in \(-4 = -6 + x\).

Step2: Add \(6\) to both sides

Now, to solve for \(x\), we add \(6\) to both sides of the equation \(-4 = -6 + x\). So, \(-4 + 6 = -6 + x + 6\). Simplifying the left side (\(-4 + 6 = 2\)) and the right side (the \(-6\) and \(+6\) cancel) gives us \(2 = x\), or \(x = 2\).

Answer:

\(x = 2\)