Question

Solve each equation. $$5(x+3)+4 x-3--(2 x-4)+2$$

   Solve each equation.
$$5(x+3)+4 x-3--(2 x-4)+2$$

Precalculus

Margaret L. Lial,… 4th Edition

Chapter 1, Problem 16

Instant Answer

Solved by Expert Sarah X

08/03/2020

Step 1

5(x + 3) becomes 5x + 15. Show more…

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Solve each equation. $$5(x+3)+4 x-3--(2 x-4)+2$$

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Key Concepts

Handling Negative Signs

Handling negative signs correctly, especially with expressions preceded by a negative sign, is crucial. This often involves recognizing that subtracting a negative quantity is equivalent to adding its positive counterpart, ensuring that each term is correctly signed during the simplification process.

Distributive Property

The distributive property is utilized to multiply a term outside the parentheses by each term inside the parentheses. This is useful for eliminating parentheses in algebraic expressions, allowing for further simplification and combination of like terms.

Combining Like Terms

Combining like terms involves adding or subtracting coefficients of terms that contain the same variable. This technique simplifies an expression by merging similar terms, thus reducing the expression to its simplest form.

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