Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

question solve for x: -3x + 4 = -8x - 26 answer attempt 1 out of 2 x = …

Question

question
solve for x:
-3x + 4 = -8x - 26
answer attempt 1 out of 2
x =
submit answer

Explanation:

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

To get all \(x\)-terms on one side, we add \(8x\) to both sides of the equation \(-3x + 4=-8x - 26\). This gives \(-3x+8x + 4=-8x + 8x-26\), which simplifies to \(5x + 4=-26\).

Step2: Subtract 4 from both sides

Next, we isolate the term with \(x\) by subtracting 4 from both sides. So, \(5x+4 - 4=-26 - 4\), which simplifies to \(5x=-30\).

Step3: Divide by 5

Finally, we solve for \(x\) by dividing both sides by 5. \(\frac{5x}{5}=\frac{-30}{5}\), so \(x = - 6\).

Answer:

\(x=-6\)