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Sagot :
Certainly! Let's solve the equation step-by-step:
1. Start with the given equation:
[tex]\[ 2(x + 1) = 8 \][/tex]
2. Distribute the 2 on the left-hand side:
[tex]\[ 2 \cdot x + 2 \cdot 1 = 8 \][/tex]
Simplifies to:
[tex]\[ 2x + 2 = 8 \][/tex]
3. Isolate the term with [tex]\( x \)[/tex] by subtracting 2 from both sides of the equation:
[tex]\[ 2x + 2 - 2 = 8 - 2 \][/tex]
Simplifies to:
[tex]\[ 2x = 6 \][/tex]
4. Solve for [tex]\( x \)[/tex] by dividing both sides by 2:
[tex]\[ \frac{2x}{2} = \frac{6}{2} \][/tex]
Simplifies to:
[tex]\[ x = 3 \][/tex]
Thus, the solution to the equation [tex]\( 2(x + 1) = 8 \)[/tex] is:
[tex]\[ x = 3 \][/tex]
1. Start with the given equation:
[tex]\[ 2(x + 1) = 8 \][/tex]
2. Distribute the 2 on the left-hand side:
[tex]\[ 2 \cdot x + 2 \cdot 1 = 8 \][/tex]
Simplifies to:
[tex]\[ 2x + 2 = 8 \][/tex]
3. Isolate the term with [tex]\( x \)[/tex] by subtracting 2 from both sides of the equation:
[tex]\[ 2x + 2 - 2 = 8 - 2 \][/tex]
Simplifies to:
[tex]\[ 2x = 6 \][/tex]
4. Solve for [tex]\( x \)[/tex] by dividing both sides by 2:
[tex]\[ \frac{2x}{2} = \frac{6}{2} \][/tex]
Simplifies to:
[tex]\[ x = 3 \][/tex]
Thus, the solution to the equation [tex]\( 2(x + 1) = 8 \)[/tex] is:
[tex]\[ x = 3 \][/tex]
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