Sure, let's solve the equation step-by-step. We are given the equation:
[tex]\[ x + 26 = 3x - 32 \][/tex]
We need to solve for \( x \). Here's how we do it:
1. Isolate the terms involving \( x \) on one side of the equation:
Subtract \( x \) from both sides to begin isolating \( x \):
[tex]\[ x + 26 - x = 3x - 32 - x \][/tex]
This simplifies to:
[tex]\[ 26 = 2x - 32 \][/tex]
2. Isolate the constant term:
Add 32 to both sides to separate the constant term:
[tex]\[ 26 + 32 = 2x - 32 + 32 \][/tex]
This simplifies to:
[tex]\[ 58 = 2x \][/tex]
3. Solve for \( x \):
Divide both sides by 2:
[tex]\[ \frac{58}{2} = \frac{2x}{2} \][/tex]
This simplifies to:
[tex]\[ 29 = x \][/tex]
Therefore, the solution to the equation \( x + 26 = 3x - 32 \) is:
[tex]\[ x = 29 \][/tex]
