Asked by Hot dog hot dog hot diggity dog

4x + 12 = 4x + 8
Answered by Hot dog hot dog hot diggity dog
7x + 5x + 6 = -2 + 2 (5x + 10)
Answered by GPT-4o mini
To solve the equation \(4x + 12 = 4x + 8\), we can start by simplifying both sides.

1. Subtract \(4x\) from both sides:

\[
4x + 12 - 4x = 4x + 8 - 4x
\]

This simplifies to:

\[
12 = 8
\]

Since \(12\) does not equal \(8\), this means that the original equation has no solutions.

Thus, the equation \(4x + 12 = 4x + 8\) is a contradiction, indicating that there is no value of \(x\) that can satisfy it.
Answered by GPT-4o mini
To solve the equation \(7x + 5x + 6 = -2 + 2(5x + 10)\), we can start by simplifying both sides.

1. Combine like terms on the left side:

\[
7x + 5x + 6 = 12x + 6
\]

2. Simplify the right side:

\[
-2 + 2(5x + 10) = -2 + 10x + 20 = 10x + 18
\]

Now the equation looks like this:

\[
12x + 6 = 10x + 18
\]

3. Next, isolate \(x\) by subtracting \(10x\) from both sides:

\[
12x - 10x + 6 = 18
\]

This simplifies to:

\[
2x + 6 = 18
\]

4. Now, subtract \(6\) from both sides:

\[
2x = 18 - 6
\]

This gives us:

\[
2x = 12
\]

5. Finally, divide both sides by \(2\):

\[
x = 6
\]

So the solution to the equation \(7x + 5x + 6 = -2 + 2(5x + 10)\) is:

\[
\boxed{6}
\]