5 (5 – x) = -5
To solve this equation, we can start by distributing the 5 to the terms inside the parentheses:
5 * 5 – 5 * x = -5
Further simplifying,
25 – 5x = -5
Next, let’s isolate the variable term (in this case, -5x) by moving the constant term (in this case, -5) to the other side of the equation:
25 – 5x + 5 = -5 + 5
25 – 5x + 5 = 0
Combining like terms,
30 – 5x = 0
Now, to isolate the variable term, we can move the constant term to the other side:
30 – 5x – 30 = 0 – 30
-5x = -30
Finally, to solve for x, divide both sides of the equation by -5:
-5x / -5 = -30 / -5
x = 6
Therefore, the solution to the equation 5(5 – x) = -5 is x = 6
To solve this equation, we can start by distributing the 5 to the terms inside the parentheses:
5 * 5 – 5 * x = -5
Further simplifying,
25 – 5x = -5
Next, let’s isolate the variable term (in this case, -5x) by moving the constant term (in this case, -5) to the other side of the equation:
25 – 5x + 5 = -5 + 5
25 – 5x + 5 = 0
Combining like terms,
30 – 5x = 0
Now, to isolate the variable term, we can move the constant term to the other side:
30 – 5x – 30 = 0 – 30
-5x = -30
Finally, to solve for x, divide both sides of the equation by -5:
-5x / -5 = -30 / -5
x = 6
Therefore, the solution to the equation 5(5 – x) = -5 is x = 6.
Regarding definitions, here are a few commonly used terms in mathematics:
1. Equation: A mathematical statement that uses an equal sign (=) to show that two expressions are equivalent.
2. Variable: A symbol (usually a letter) that represents an unknown quantity in an equation or expression.
3. Distributive Property: A property in mathematics that states that multiplying a number by a sum or difference is the same as multiplying each term inside the parentheses separately and then adding or subtracting the results.
4. Constant: A fixed value in an equation or expression that does not vary.
5. Simplify: To reduce an equation or expression to its simplest form by combining like terms or applying mathematical operations.
6. Isolate: The process of moving terms of an equation to one side to solve for a specific variable.
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