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An equation is shown below: 5x + 3(x − 5) = 6x + 2x − 15 What is the solution to this equation?

1 Answer

1 vote

Answer:

(all values of x are solutions)

Explanation:

5x + 3(x − 5) = 6x + 2x − 15

Simplify the left side by distributing the 3:

5x + 3x - 15 = 6x + 2x - 15

Combine like terms on both sides:

8x - 15 = 8x - 15

The equation simplifies to an identity, meaning it is true for all values of x. Therefore, the solution set is all real numbers.

Both sides of the equation are identical 5x + 3(x − 5) = 6x + 2x − 15 = True

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