Question

Solve the equation. $$-3 x+x-8=-2(6-x)$$

   Solve the equation.
$$-3 x+x-8=-2(6-x)$$

Prealgebra

Julie Miller, Molly… 1st Edition

Chapter 3, Problem 46

Instant Answer

Solved by Expert Grace Muhihu

07/25/2020

Step 1

Step 1: Combine like terms on the left side of the equation: $$-3x + x = -2x$$ So, the equation becomes: $$-2x - 8 = -2(6-x)$$ Show more…

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Solve the equation. $$-3 x+x-8=-2(6-x)$$

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Key Concepts

Combining Like Terms

This process involves identifying and grouping terms in an algebraic expression that have the same variable component so that they can be simplified by performing the necessary arithmetic operations. It helps in reducing the complexity of equations and makes the process of solving them more straightforward.

Distributive Property

The distributive property is a fundamental algebraic principle that allows one to multiply a single term by each term inside a parenthesis. It is especially useful in eliminating parentheses and simplifying expressions, which is critical when preparing an equation for further manipulation.

Solving Linear Equations

Solving linear equations involves using various algebraic techniques, such as combining like terms, applying the distributive property, and using inverse operations, to isolate the variable. The goal is to simplify the equation step by step until the variable stands alone, yielding the solution.

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