How to Solve the Equation 5(5 – x) = -5 and Commonly Used Math Terms

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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