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Solve for [tex]\( x \)[/tex]:

[tex]\[
\begin{array}{l}
4x - 16 \xrightarrow{\longrightarrow} 2x + 16
\end{array}
\][/tex]

Sagot :

GinnyAnsweridn
To solve the equation [tex]\(4x - 16 = 2x + 16\)[/tex], let's follow a step-by-step approach:

### Step 1: Move all terms involving [tex]\(x\)[/tex] to one side of the equation

We begin with the given equation:
[tex]\[ 4x - 16 = 2x + 16 \][/tex]

Subtract [tex]\(2x\)[/tex] from both sides to move all terms involving [tex]\(x\)[/tex] to one side:
[tex]\[ 4x - 2x - 16 = 2x - 2x + 16 \][/tex]

Simplify both sides:
[tex]\[ 2x - 16 = 16 \][/tex]

### Step 2: Move constant terms to the other side of the equation

Next, to isolate the term involving [tex]\(x\)[/tex], we add 16 to both sides:
[tex]\[ 2x - 16 + 16 = 16 + 16 \][/tex]

Simplify both sides:
[tex]\[ 2x = 32 \][/tex]

### Step 3: Solve for [tex]\(x\)[/tex]

Now, we need to solve for [tex]\(x\)[/tex]. To do this, divide both sides by 2:
[tex]\[ \frac{2x}{2} = \frac{32}{2} \][/tex]

Simplify the equation:
[tex]\[ x = 16 \][/tex]

Thus, the solution to the equation [tex]\(4x - 16 = 2x + 16\)[/tex] is:
[tex]\[ x = 16 \][/tex]
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