Answer: The number is: " 3 " .
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Explanation:
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Let "x" represent the "unknown number" ; for which we are to solve.
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[tex] \frac{(3x + 9)}{6} = x [/tex] ;
→ 6x = 3x + 9 ;
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Method 1)
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Given:
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→ 6x = 3x + 9 ;
Subtract "3x" from each side of the equation;
→ 6x – 3x = 3x + 9 – 3x ;
to get:
→ 3x = 9 ;
Divide each side of the equation by " 3 " ;
to isolate "x" on one side of the equation; & to solve for "x" ;
→ 3x / 3 = 9 / 3 ;
→ x = 3 .
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The number is: " 3 " .
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Method 2)
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Given:
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→ 6x = 3x + 9 ;
Divide the entire equation by " 3 " ;
→ 6x / 3 = (3x + 9) / 3 ;
to get:
→ 2x = x + 3 ;
Subtract "x" from each side of the equation:
→ 2x – x = x + 3 – x ;
to get:
→ 1x = 3 ;
↔ " x = 3 " .
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The number is: " 3 " .
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