Math Problem Statement

is 10 a solution to -10=-5(x+3)

Solution

Let's check if x=10x = 10 is a solution to the equation 10=5(x+3)-10 = -5(x + 3) by substituting x=10x = 10 into the equation.

Substitute x=10x = 10 into the equation:

10=5(10+3)-10 = -5(10 + 3)

Now, simplify the right side:

10=5(13)-10 = -5(13)

10=65-10 = -65

Since 10-10 is not equal to 65-65, x=10x = 10 is not a solution to the equation 10=5(x+3)-10 = -5(x + 3).

Would you like more details, or do you have any questions about this?

Here are 5 related questions:

  1. What value of xx would make 10=5(x+3)-10 = -5(x + 3) true?
  2. How do you solve for xx in the equation 5(x+3)=10-5(x + 3) = -10?
  3. What are the steps to verify if a given value is a solution to an equation?
  4. What would happen if we divided both sides of the equation 10=5(x+3)-10 = -5(x + 3) by 5-5?
  5. How can we graphically represent the equation 10=5(x+3)-10 = -5(x + 3)?

Tip: Always simplify the equation step-by-step to avoid errors when checking if a value is a solution.

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Math Problem Analysis

Mathematical Concepts

Equations
Substitution
Simplification

Formulas

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Theorems

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Suitable Grade Level

Grades 7-9