A fused sentence, also called a run-on, occurs when a writer has connected two main clauses with no punctuation.

4 - 9x = 29 - 4x

-9x + 4x = 29 - 4

-5x = 25

x = 25/-5

x = -5

To solve for x, we want to isolate x on one side of the equation.

First, let's simplify the equation:

13 + 5x = 22 + 8x

We can start by subtracting 5x from both sides to move all the x terms to one side:

13 + 5x - 5x = 22 + 8x - 5x

13 = 22 + 3x

Next, we can subtract 22 from both sides to isolate 3x:

13 - 22 = 22 + 3x - 22

-9 = 3x

Finally, we divide both sides by 3 to solve for x:

-9 / 3 = 3x / 3

-3 = x

So the solution is x = -3

12x + 3 = 3x + 6
12x - 3x = 6 - 3
9x = 3
x = 3/9 = 1/3