Sure, let's solve the equation step-by-step:
We start with the equation:
[tex]\[ 243x + 2x + 1 - x = 13 \][/tex]
1. Combine like terms:
[tex]\[ (243x + 2x - x) + 1 = 13 \][/tex]
2. Simplify the coefficients of [tex]\( x \)[/tex]:
[tex]\[ 244x + 1 = 13 \][/tex]
3. Isolate the term with [tex]\( x \)[/tex] by subtracting 1 from both sides:
[tex]\[ 244x = 13 - 1 \][/tex]
[tex]\[ 244x = 12 \][/tex]
4. Solve for [tex]\( x \)[/tex] by dividing both sides by 244:
[tex]\[ x = \frac{12}{244} \][/tex]
5. Simplify the fraction:
[tex]\[ x = \frac{3}{61} \][/tex]
Therefore, the solution to the equation [tex]\( 243x + 2x + 1 - x = 13 \)[/tex] is:
[tex]\[ x = \frac{3}{61} \][/tex]
