Answer :
Final answer:
The problem is a simple algebraic equation in the form 7x - 11 = 6x + 5. By rearranging and simplifying, we find the solution is x = 16.
Explanation:
The question presents a mathematical statement that needs to be solved for the variable. Translating the words into an equation, we get: 7x - 11 = 6x + 5. This equation is saying seven times a number (we'll call it 'x') reduced by eleven is equal to six times that number increased by five.
To solve for 'x', first, rearrange the equation to get all 'x' terms on one side and constants on the other. By subtracting 6x from both sides, we get x - 11 = 5. Then, add 11 to both sides to isolate 'x': x = 16.
So, the number or 'x' that satisfies this equation is 16.
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x = 16.
To solve this, let the unknown number be represented by x.
We can set up the equation based on the given information:
7x - 11 = 6x + 5
Subtract 6x from both sides of the equation:
7x - 6x - 11 = 6x - 6x + 5
Simplify the equation:
x - 11 = 5
Add 11 to both sides:
x - 11 + 11 = 5 + 11
Simplify the equation:
x = 16
Thus, the number is 16.
