Solving the Equation 5(5 – x) = -5 | Step-by-Step Guide and Definition

5 (5 – x) = -5

To solve the equation 5(5 – x) = -5, we can follow these steps:

Step 1: Distribute the 5 to both terms inside the parentheses

To solve the equation 5(5 – x) = -5, we can follow these steps:

Step 1: Distribute the 5 to both terms inside the parentheses.
5 * 5 – 5 * x = -5
25 – 5x = -5

Step 2: Arrange the equation to isolate the variable term, which is -5x in this case.
-5x = -5 – 25
-5x = -30

Step 3: Divide both sides of the equation by -5 to solve for x.
-5x / -5 = -30 / -5
x = 6

Therefore, the solution to the equation 5(5 – x) = -5 is x = 6.

Definition:

Equation: An equation is a mathematical statement that involves an equals sign (=) indicating that two expressions are equal. Equations are used to find unknown values by solving for the variable(s).

Variable: In mathematics, a variable is a symbol (usually a letter) that represents an unknown or changing value. Variables are used in equations and formulas to denote quantities that can change.

Solution: In mathematics, a solution is a value or set of values that make an equation or inequality true. For example, if we have the equation x + 2 = 7, a solution to this equation is x = 5, which means that when we substitute 5 for x, the equation is true.

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