Question

question
solve for x:
-4x + 5 = -8x + 21

Explanation:

Step1: Add \(8x\) to both sides

To get all \(x\)-terms on one side, we add \(8x\) to both sides of the equation \(-4x + 5=-8x + 21\). This gives \(-4x+8x + 5=-8x + 8x+21\), which simplifies to \(4x + 5=21\).

Step2: Subtract 5 from both sides

Next, we isolate the term with \(x\) by subtracting 5 from both sides. So, \(4x+5 - 5=21 - 5\), which simplifies to \(4x = 16\).

Step3: Divide by 4

Finally, we solve for \(x\) by dividing both sides by 4. \(\frac{4x}{4}=\frac{16}{4}\), so \(x = 4\).

Answer:

\(x = 4\)