Question

-6 = x + 2x

Explanation:

Looking at the image, we can see that the equation is reversed (maybe due to the orientation of the image). So we first correct the orientation. The equation should be \(-2x + x = -6\) (or maybe \(-2x + x = -6\) when we rotate the image properly, or perhaps the original is \(-2x + x = -6\), but let's first process the equation as if it's \(-2x + x = -6\) (after rotating the image so that the text is readable). Wait, actually, when we rotate the image 180 degrees, the equation becomes \(-2x + x = -6\)? Wait, no, let's look at the characters: the original image has text that is reversed. Let's transcribe the reversed text:

The reversed text (when we rotate 180 degrees) would be:

Looking at the characters: the first part is "9-" reversed is "-9", then "= x + x2-" reversed is "-2x + x =". Wait, no, let's do it step by step. Let's take each character:

• The "9-" reversed (flipped horizontally) is "-9"? Wait, no, if we flip the image horizontally (mirror it), the "9" becomes "6" reversed? Wait, maybe the original equation is \(-2x + x = -6\) or \(-2x + x = -9\)? Wait, the first character is "9-" which when mirrored (flipped horizontally) is "-6"? Wait, no, let's look at the image again. The user's image: the text is written in a way that is reversed (maybe the paper is held upside down or mirrored). Let's parse the characters:

The first part: "9-" – when we mirror (flip horizontally), "9" becomes "6" reversed? Wait, no, "9" flipped horizontally is "6" (since 9 and 6 are mirror images). So "9-" flipped horizontally is "-6". Then "= x + x2-" flipped horizontally: "x2-" flipped is "-2x", then "+ x" is "+ x", then "=" is "=". So the equation, when flipped horizontally (to make it readable), is \(-2x + x = -6\).

Now, let's solve \(-2x + x = -6\).

Step1: Combine like terms

\(-2x + x\) is \(-x\), so the equation becomes:
\(-x = -6\)

Step2: Multiply both sides by -1

Multiply both sides by -1 to solve for \(x\):
\((-1)(-x) = (-1)(-6)\)
\(x = 6\)

Wait, but let's check again. Maybe the original equation is \(-2x + x = -9\) (if "9-" is "-9" when flipped). Wait, no, the first character is "9" which when flipped is "6", so "9-" flipped is "-6". So the equation is \(-2x + x = -6\).

Combining like terms: \(-2x + x = (-2 + 1)x = -x\). So \(-x = -6\). Then multiply both sides by -1: \(x = 6\).

Alternatively, if the equation is \(-2x + x = -9\) (if "9-" is "-9" when flipped, but "9" flipped is "6", so maybe it's a typo or the image is unclear. But let's proceed with the equation we derived from the reversed text.

Answer:

\(x = 6\)