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Solve for x:
[tex]\[5x + 5 = 26 + 2x\][/tex]

Sagot :

GinnyAnswer
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]
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