Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

solve for x: 2x - 4x - 3 = -27. (1 ○ x = -4 ○ x = 12 ○ x = 4 ○ x = -12

Question

solve for x: 2x - 4x - 3 = -27. (1
○ x = -4
○ x = 12
○ x = 4
○ x = -12

Explanation:

Step1: Combine like terms

Combine the \(x\)-terms: \(2x - 4x=-2x\), so the equation becomes \(-2x - 3=-27\).

Step2: Add 3 to both sides

Add 3 to each side: \(-2x - 3 + 3=-27 + 3\), which simplifies to \(-2x=-24\).

Step3: Divide by -2

Divide both sides by \(-2\): \(\frac{-2x}{-2}=\frac{-24}{-2}\), so \(x = 12\).

Answer:

B. \(x = 12\)