Math Problem Statement

is 2 a solution to -10=-5(x+3)

Solution

To determine whether x=2x = 2 is a solution to the equation 10=5(x+3)-10 = -5(x + 3), we can substitute x=2x = 2 into the equation and check if both sides are equal.

Substitute x=2x = 2 into the equation:

10=5(2+3)-10 = -5(2 + 3)

Now, simplify the right side:

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

10=25-10 = -25

Since 10-10 is not equal to 25-25, x=2x = 2 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. How do you solve the equation 10=5(x+3)-10 = -5(x + 3) for xx?
  2. What is the general process for checking if a value is a solution to an equation?
  3. What are the steps to solve linear equations with one variable?
  4. How can you identify if an equation has no solution?
  5. What happens when both sides of the equation simplify to the same number?

Tip: Always substitute a proposed solution back into the original equation to verify its correctness.