26x+30=26+x+12

To solve the equation \( 26x + 30 = 26 + x + 12 \), follow these steps:

1. Simplify the right side of the equation: \[ 26 + x + 12 = x + 38 \] Now the equation is: \[ 26x + 30 = x + 38 \]

2. Move all terms involving \( x \) to one side and constant terms to the other side. To do this, subtract \( x \) from both sides: \[ 26x - x + 30 = 38 \]

3. Combine like terms: \[ 25x + 30 = 38 \]

4. Next, subtract 30 from both sides: \[ 25x = 38 - 30 \] \[ 25x = 8 \]

5. Finally, divide by 25: \[ x = \frac{8}{25} \]

Thus, the solution is: \[ x = \frac{8}{25} \]