Sure, let's solve the equation [tex]\( 5x + 5 = 26 + 2x \)[/tex] step-by-step.
### Step 1: Move all terms involving [tex]\( x \)[/tex] to one side
To isolate the [tex]\( x \)[/tex] terms, we can subtract [tex]\( 2x \)[/tex] from both sides of the equation:
[tex]\[ 5x + 5 - 2x = 26 + 2x - 2x \][/tex]
This simplifies to:
[tex]\[ 3x + 5 = 26 \][/tex]
### Step 2: Move constant terms to the other side
Next, we want to isolate the term with [tex]\( x \)[/tex] by moving the constant term [tex]\( 5 \)[/tex] from the left-hand side to the right-hand side. We do this by subtracting [tex]\( 5 \)[/tex] from both sides of the equation:
[tex]\[ 3x + 5 - 5 = 26 - 5 \][/tex]
This simplifies to:
[tex]\[ 3x = 21 \][/tex]
### Step 3: Solve for [tex]\( x \)[/tex]
Now, to find the value of [tex]\( x \)[/tex], we divide both sides of the equation by [tex]\( 3 \)[/tex]:
[tex]\[ \frac{3x}{3} = \frac{21}{3} \][/tex]
This gives us:
[tex]\[ x = 7 \][/tex]
### Final Answer:
The solution to the equation [tex]\( 5x + 5 = 26 + 2x \)[/tex] is:
[tex]\[ \boxed{x = 7} \][/tex]
