Question

-3·x·2 + 4 = -6x + 4
no solution
infinitely many solutions

Explanation:

Step1: Simplify both sides

$-3x + 2 = -6x + 4$

Step2: Add $6x$ to both sides

$3x + 2 = 4$

Step3: Subtract 2 from both sides

$3x = 2$
Wait correction: Wait original equation is $-3x \cdot 2 +4 = -6x +4$? Wait no, the image shows $-3 \cdot x \cdot 2 +4 = -6x +4$ which is $-6x +4 = -6x +4$—wait no, if it's $-3x +2 +4 = -6x +4$ no, wait the image equation is $-3 \cdot x \cdot 2 +4 = -6x +4$ → $-6x +4 = -6x +4$ which is infinitely many? Wait no, the orange box says No Solution. Wait let's recheck: If the equation is $-3x +2 = -6x +4$ then $3x=2$ → $x=2/3$ but if it's $-3x \cdot 2 +4 = -6x +4$ → $-6x+4=-6x+4$ (infinitely many). But the image has orange box "No Solution" so maybe the equation is $-3x +2 = -3x +4$? Wait no, the user's image shows equation as $-3 \cdot x \cdot 2 +4 = -6x +4$? Wait the correct process for $-3x +2 = -6x +4$:

Step1: Bring variables to left

$-3x +6x =4 -2$

Step2: Calculate

$3x=2$ → $x=2/3$ but if equation is $-3x +2 = -3x +4$ → $2=4$ (no solution). Since the image has "No Solution" option, the equation must be $-3x +2 = -3x +4$ so:

Step1: Subtract $-3x$ from both sides

$2 =4$

Step2: Check validity

$2≠4$, so no solution.

Final Answer: No Solution

Answer:

No Solution